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Finding the Fourth Proportional to 474,275.34, 711,414.21 and 193,792.59

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Solution

The fourth proportional to 474,275.34, 711,414.21 and 193,792.59 is: 290,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,275.34 : 711,414.21 = 193,792.59 : x
  2. Step 2: Convert to fraction form
    474,275.34/711,414.21 = 193,792.59/x
  3. Step 3: Cross multiply
    474,275.34x = 711,414.21 × 193,792.59
  4. Step 4: Simplify right side
    474,275.34x = 137,866,802,318.70
  5. Step 5: Solve for x
    x = 137,866,802,318.70/474,275.34
  6. Step 6: Final answer
    x = 290,689.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.