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Finding the Fourth Proportional to 462,260.98, 692,207.58 and 319,909.16

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Solution

The fourth proportional to 462,260.98, 692,207.58 and 319,909.16 is: 479,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,260.98 : 692,207.58 = 319,909.16 : x
  2. Step 2: Convert to fraction form
    462,260.98/692,207.58 = 319,909.16/x
  3. Step 3: Cross multiply
    462,260.98x = 692,207.58 × 319,909.16
  4. Step 4: Simplify right side
    462,260.98x = 221,443,545,463.43
  5. Step 5: Solve for x
    x = 221,443,545,463.43/462,260.98
  6. Step 6: Final answer
    x = 479,044.43

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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.