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Finding the Fourth Proportional to 461,053.32, 636,256.36 and 257,117.14

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Solution

The fourth proportional to 461,053.32, 636,256.36 and 257,117.14 is: 354,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,053.32 : 636,256.36 = 257,117.14 : x
  2. Step 2: Convert to fraction form
    461,053.32/636,256.36 = 257,117.14/x
  3. Step 3: Cross multiply
    461,053.32x = 636,256.36 × 257,117.14
  4. Step 4: Simplify right side
    461,053.32x = 163,592,415,590.01
  5. Step 5: Solve for x
    x = 163,592,415,590.01/461,053.32
  6. Step 6: Final answer
    x = 354,823.20

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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.