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Finding the Fourth Proportional to 526,714.65, 726,864.37 and 284,996.13

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Solution

The fourth proportional to 526,714.65, 726,864.37 and 284,996.13 is: 393,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,714.65 : 726,864.37 = 284,996.13 : x
  2. Step 2: Convert to fraction form
    526,714.65/726,864.37 = 284,996.13/x
  3. Step 3: Cross multiply
    526,714.65x = 726,864.37 × 284,996.13
  4. Step 4: Simplify right side
    526,714.65x = 207,153,535,359.75
  5. Step 5: Solve for x
    x = 207,153,535,359.75/526,714.65
  6. Step 6: Final answer
    x = 393,293.67

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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.