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Finding the Fourth Proportional to 462,478.64, 693,714.36 and 237,902

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Solution

The fourth proportional to 462,478.64, 693,714.36 and 237,902 is: 356,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,478.64 : 693,714.36 = 237,902 : x
  2. Step 2: Convert to fraction form
    462,478.64/693,714.36 = 237,902/x
  3. Step 3: Cross multiply
    462,478.64x = 693,714.36 × 237,902
  4. Step 4: Simplify right side
    462,478.64x = 165,036,033,672.72
  5. Step 5: Solve for x
    x = 165,036,033,672.72/462,478.64
  6. Step 6: Final answer
    x = 356,851.15

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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.