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Finding the Fourth Proportional to 462,476.64, 693,711.36 and 237,900

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Solution

The fourth proportional to 462,476.64, 693,711.36 and 237,900 is: 356,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,476.64 : 693,711.36 = 237,900 : x
  2. Step 2: Convert to fraction form
    462,476.64/693,711.36 = 237,900/x
  3. Step 3: Cross multiply
    462,476.64x = 693,711.36 × 237,900
  4. Step 4: Simplify right side
    462,476.64x = 165,033,932,544
  5. Step 5: Solve for x
    x = 165,033,932,544/462,476.64
  6. Step 6: Final answer
    x = 356,848.15

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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.