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Finding the Fourth Proportional to 802,149.48, 1,106,728.92 and 457,974

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Solution

The fourth proportional to 802,149.48, 1,106,728.92 and 457,974 is: 631,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,149.48 : 1,106,728.92 = 457,974 : x
  2. Step 2: Convert to fraction form
    802,149.48/1,106,728.92 = 457,974/x
  3. Step 3: Cross multiply
    802,149.48x = 1,106,728.92 × 457,974
  4. Step 4: Simplify right side
    802,149.48x = 506,853,070,408.08
  5. Step 5: Solve for x
    x = 506,853,070,408.08/802,149.48
  6. Step 6: Final answer
    x = 631,868.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.