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Finding the Fourth Proportional to 462,656.98, 693,192.66 and 310,569.34

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Solution

The fourth proportional to 462,656.98, 693,192.66 and 310,569.34 is: 465,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,656.98 : 693,192.66 = 310,569.34 : x
  2. Step 2: Convert to fraction form
    462,656.98/693,192.66 = 310,569.34/x
  3. Step 3: Cross multiply
    462,656.98x = 693,192.66 × 310,569.34
  4. Step 4: Simplify right side
    462,656.98x = 215,284,386,909.04
  5. Step 5: Solve for x
    x = 215,284,386,909.04/462,656.98
  6. Step 6: Final answer
    x = 465,321.82

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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.