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Finding the Fourth Proportional to 411,547.74, 567,957.96 and 230,248.86

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Solution

The fourth proportional to 411,547.74, 567,957.96 and 230,248.86 is: 317,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,547.74 : 567,957.96 = 230,248.86 : x
  2. Step 2: Convert to fraction form
    411,547.74/567,957.96 = 230,248.86/x
  3. Step 3: Cross multiply
    411,547.74x = 567,957.96 × 230,248.86
  4. Step 4: Simplify right side
    411,547.74x = 130,771,672,817.93
  5. Step 5: Solve for x
    x = 130,771,672,817.93/411,547.74
  6. Step 6: Final answer
    x = 317,755.78

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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.