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Finding the Fourth Proportional to 458,203.80, 687,305.70 and 399,154.80

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Solution

The fourth proportional to 458,203.80, 687,305.70 and 399,154.80 is: 598,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,203.80 : 687,305.70 = 399,154.80 : x
  2. Step 2: Convert to fraction form
    458,203.80/687,305.70 = 399,154.80/x
  3. Step 3: Cross multiply
    458,203.80x = 687,305.70 × 399,154.80
  4. Step 4: Simplify right side
    458,203.80x = 274,341,369,222.36
  5. Step 5: Solve for x
    x = 274,341,369,222.36/458,203.80
  6. Step 6: Final answer
    x = 598,732.20

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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.