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Finding the Fourth Proportional to 840,728.16, 1,160,232.87 and 458,775.90

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Solution

The fourth proportional to 840,728.16, 1,160,232.87 and 458,775.90 is: 633,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,728.16 : 1,160,232.87 = 458,775.90 : x
  2. Step 2: Convert to fraction form
    840,728.16/1,160,232.87 = 458,775.90/x
  3. Step 3: Cross multiply
    840,728.16x = 1,160,232.87 × 458,775.90
  4. Step 4: Simplify right side
    840,728.16x = 532,286,879,143.83
  5. Step 5: Solve for x
    x = 532,286,879,143.83/840,728.16
  6. Step 6: Final answer
    x = 633,126.03

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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.