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Finding the Fourth Proportional to 616,272.30, 924,408.45 and 413,318.70

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Solution

The fourth proportional to 616,272.30, 924,408.45 and 413,318.70 is: 619,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,272.30 : 924,408.45 = 413,318.70 : x
  2. Step 2: Convert to fraction form
    616,272.30/924,408.45 = 413,318.70/x
  3. Step 3: Cross multiply
    616,272.30x = 924,408.45 × 413,318.70
  4. Step 4: Simplify right side
    616,272.30x = 382,075,298,823.02
  5. Step 5: Solve for x
    x = 382,075,298,823.02/616,272.30
  6. Step 6: Final answer
    x = 619,978.05

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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.