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Finding the Fourth Proportional to 461,079.32, 636,288.21 and 257,130.47

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Solution

The fourth proportional to 461,079.32, 636,288.21 and 257,130.47 is: 354,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,079.32 : 636,288.21 = 257,130.47 : x
  2. Step 2: Convert to fraction form
    461,079.32/636,288.21 = 257,130.47/x
  3. Step 3: Cross multiply
    461,079.32x = 636,288.21 × 257,130.47
  4. Step 4: Simplify right side
    461,079.32x = 163,609,083,311.32
  5. Step 5: Solve for x
    x = 163,609,083,311.32/461,079.32
  6. Step 6: Final answer
    x = 354,839.35

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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.