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Finding the Fourth Proportional to 534,164.92, 737,149.74 and 292,470

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Solution

The fourth proportional to 534,164.92, 737,149.74 and 292,470 is: 403,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,164.92 : 737,149.74 = 292,470 : x
  2. Step 2: Convert to fraction form
    534,164.92/737,149.74 = 292,470/x
  3. Step 3: Cross multiply
    534,164.92x = 737,149.74 × 292,470
  4. Step 4: Simplify right side
    534,164.92x = 215,594,184,457.80
  5. Step 5: Solve for x
    x = 215,594,184,457.80/534,164.92
  6. Step 6: Final answer
    x = 403,609.78

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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.