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Finding the Fourth Proportional to 584,254.62, 876,372.80 and 299,781

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Solution

The fourth proportional to 584,254.62, 876,372.80 and 299,781 is: 449,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,254.62 : 876,372.80 = 299,781 : x
  2. Step 2: Convert to fraction form
    584,254.62/876,372.80 = 299,781/x
  3. Step 3: Cross multiply
    584,254.62x = 876,372.80 × 299,781
  4. Step 4: Simplify right side
    584,254.62x = 262,719,912,857.90
  5. Step 5: Solve for x
    x = 262,719,912,857.90/584,254.62
  6. Step 6: Final answer
    x = 449,666.81

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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.