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Finding the Fourth Proportional to 534,314.83, 737,354.84 and 292,597.47

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Solution

The fourth proportional to 534,314.83, 737,354.84 and 292,597.47 is: 403,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,314.83 : 737,354.84 = 292,597.47 : x
  2. Step 2: Convert to fraction form
    534,314.83/737,354.84 = 292,597.47/x
  3. Step 3: Cross multiply
    534,314.83x = 737,354.84 × 292,597.47
  4. Step 4: Simplify right side
    534,314.83x = 215,748,160,676.26
  5. Step 5: Solve for x
    x = 215,748,160,676.26/534,314.83
  6. Step 6: Final answer
    x = 403,784.71

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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.