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Finding the Fourth Proportional to 458,822.80, 688,234.20 and 318,854.80

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Solution

The fourth proportional to 458,822.80, 688,234.20 and 318,854.80 is: 478,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,822.80 : 688,234.20 = 318,854.80 : x
  2. Step 2: Convert to fraction form
    458,822.80/688,234.20 = 318,854.80/x
  3. Step 3: Cross multiply
    458,822.80x = 688,234.20 × 318,854.80
  4. Step 4: Simplify right side
    458,822.80x = 219,446,778,194.16
  5. Step 5: Solve for x
    x = 219,446,778,194.16/458,822.80
  6. Step 6: Final answer
    x = 478,282.20

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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.