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Finding the Fourth Proportional to 416,560.83, 574,853.81 and 225,574.17

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Solution

The fourth proportional to 416,560.83, 574,853.81 and 225,574.17 is: 311,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,560.83 : 574,853.81 = 225,574.17 : x
  2. Step 2: Convert to fraction form
    416,560.83/574,853.81 = 225,574.17/x
  3. Step 3: Cross multiply
    416,560.83x = 574,853.81 × 225,574.17
  4. Step 4: Simplify right side
    416,560.83x = 129,672,169,934.22
  5. Step 5: Solve for x
    x = 129,672,169,934.22/416,560.83
  6. Step 6: Final answer
    x = 311,292.28

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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.