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Finding the Fourth Proportional to 392,900.93, 589,355.49 and 314,513.38

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Solution

The fourth proportional to 392,900.93, 589,355.49 and 314,513.38 is: 471,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,900.93 : 589,355.49 = 314,513.38 : x
  2. Step 2: Convert to fraction form
    392,900.93/589,355.49 = 314,513.38/x
  3. Step 3: Cross multiply
    392,900.93x = 589,355.49 × 314,513.38
  4. Step 4: Simplify right side
    392,900.93x = 185,360,189,097.58
  5. Step 5: Solve for x
    x = 185,360,189,097.58/392,900.93
  6. Step 6: Final answer
    x = 471,773.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.