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Finding the Fourth Proportional to 385,766.98, 533,374.27 and 337,882.93

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Solution

The fourth proportional to 385,766.98, 533,374.27 and 337,882.93 is: 467,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,766.98 : 533,374.27 = 337,882.93 : x
  2. Step 2: Convert to fraction form
    385,766.98/533,374.27 = 337,882.93/x
  3. Step 3: Cross multiply
    385,766.98x = 533,374.27 × 337,882.93
  4. Step 4: Simplify right side
    385,766.98x = 180,218,058,467.34
  5. Step 5: Solve for x
    x = 180,218,058,467.34/385,766.98
  6. Step 6: Final answer
    x = 467,168.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.