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Finding the Fourth Proportional to 475,772.40, 656,596.26 and 314,344.26

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Solution

The fourth proportional to 475,772.40, 656,596.26 and 314,344.26 is: 433,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,772.40 : 656,596.26 = 314,344.26 : x
  2. Step 2: Convert to fraction form
    475,772.40/656,596.26 = 314,344.26/x
  3. Step 3: Cross multiply
    475,772.40x = 656,596.26 × 314,344.26
  4. Step 4: Simplify right side
    475,772.40x = 206,397,265,468.47
  5. Step 5: Solve for x
    x = 206,397,265,468.47/475,772.40
  6. Step 6: Final answer
    x = 433,815.13

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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.