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Finding the Fourth Proportional to 461,088.40, 636,289.32 and 257,145.52

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Solution

The fourth proportional to 461,088.40, 636,289.32 and 257,145.52 is: 354,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,088.40 : 636,289.32 = 257,145.52 : x
  2. Step 2: Convert to fraction form
    461,088.40/636,289.32 = 257,145.52/x
  3. Step 3: Cross multiply
    461,088.40x = 636,289.32 × 257,145.52
  4. Step 4: Simplify right side
    461,088.40x = 163,618,948,061.85
  5. Step 5: Solve for x
    x = 163,618,948,061.85/461,088.40
  6. Step 6: Final answer
    x = 354,853.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.