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Finding the Fourth Proportional to 413,373.60, 570,450.52 and 232,081

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Solution

The fourth proportional to 413,373.60, 570,450.52 and 232,081 is: 320,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,373.60 : 570,450.52 = 232,081 : x
  2. Step 2: Convert to fraction form
    413,373.60/570,450.52 = 232,081/x
  3. Step 3: Cross multiply
    413,373.60x = 570,450.52 × 232,081
  4. Step 4: Simplify right side
    413,373.60x = 132,390,727,132.12
  5. Step 5: Solve for x
    x = 132,390,727,132.12/413,373.60
  6. Step 6: Final answer
    x = 320,268.95

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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.