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Finding the Fourth Proportional to 416,240.19, 574,411.42 and 225,253.57

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Solution

The fourth proportional to 416,240.19, 574,411.42 and 225,253.57 is: 310,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,240.19 : 574,411.42 = 225,253.57 : x
  2. Step 2: Convert to fraction form
    416,240.19/574,411.42 = 225,253.57/x
  3. Step 3: Cross multiply
    416,240.19x = 574,411.42 × 225,253.57
  4. Step 4: Simplify right side
    416,240.19x = 129,388,223,003.77
  5. Step 5: Solve for x
    x = 129,388,223,003.77/416,240.19
  6. Step 6: Final answer
    x = 310,849.90

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.