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Finding the Fourth Proportional to 416,228.67, 574,397.06 and 225,242.01

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Solution

The fourth proportional to 416,228.67, 574,397.06 and 225,242.01 is: 310,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.67 : 574,397.06 = 225,242.01 : x
  2. Step 2: Convert to fraction form
    416,228.67/574,397.06 = 225,242.01/x
  3. Step 3: Cross multiply
    416,228.67x = 574,397.06 × 225,242.01
  4. Step 4: Simplify right side
    416,228.67x = 129,378,347,206.28
  5. Step 5: Solve for x
    x = 129,378,347,206.28/416,228.67
  6. Step 6: Final answer
    x = 310,834.78

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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.