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Finding the Fourth Proportional to 825,320, 1,138,958.88 and 467,624

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Solution

The fourth proportional to 825,320, 1,138,958.88 and 467,624 is: 645,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,320 : 1,138,958.88 = 467,624 : x
  2. Step 2: Convert to fraction form
    825,320/1,138,958.88 = 467,624/x
  3. Step 3: Cross multiply
    825,320x = 1,138,958.88 × 467,624
  4. Step 4: Simplify right side
    825,320x = 532,604,507,301.12
  5. Step 5: Solve for x
    x = 532,604,507,301.12/825,320
  6. Step 6: Final answer
    x = 645,330.91

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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.