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Finding the Fourth Proportional to 415,024.65, 622,536.98 and 234,925.20

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Solution

The fourth proportional to 415,024.65, 622,536.98 and 234,925.20 is: 352,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,024.65 : 622,536.98 = 234,925.20 : x
  2. Step 2: Convert to fraction form
    415,024.65/622,536.98 = 234,925.20/x
  3. Step 3: Cross multiply
    415,024.65x = 622,536.98 × 234,925.20
  4. Step 4: Simplify right side
    415,024.65x = 146,249,623,359.27
  5. Step 5: Solve for x
    x = 146,249,623,359.27/415,024.65
  6. Step 6: Final answer
    x = 352,387.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.