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Finding the Fourth Proportional to 837,297, 1,155,416.40 and 469,753.56

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Solution

The fourth proportional to 837,297, 1,155,416.40 and 469,753.56 is: 648,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,297 : 1,155,416.40 = 469,753.56 : x
  2. Step 2: Convert to fraction form
    837,297/1,155,416.40 = 469,753.56/x
  3. Step 3: Cross multiply
    837,297x = 1,155,416.40 × 469,753.56
  4. Step 4: Simplify right side
    837,297x = 542,760,967,182.38
  5. Step 5: Solve for x
    x = 542,760,967,182.38/837,297
  6. Step 6: Final answer
    x = 648,229.92

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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.