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Finding the Fourth Proportional to 257,065.38, 354,792.24 and 176,426.64

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Solution

The fourth proportional to 257,065.38, 354,792.24 and 176,426.64 is: 243,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,065.38 : 354,792.24 = 176,426.64 : x
  2. Step 2: Convert to fraction form
    257,065.38/354,792.24 = 176,426.64/x
  3. Step 3: Cross multiply
    257,065.38x = 354,792.24 × 176,426.64
  4. Step 4: Simplify right side
    257,065.38x = 62,594,802,801.27
  5. Step 5: Solve for x
    x = 62,594,802,801.27/257,065.38
  6. Step 6: Final answer
    x = 243,497.60

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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.