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Finding the Fourth Proportional to 392,179.41, 586,784.61 and 232,341.15

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Solution

The fourth proportional to 392,179.41, 586,784.61 and 232,341.15 is: 347,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,179.41 : 586,784.61 = 232,341.15 : x
  2. Step 2: Convert to fraction form
    392,179.41/586,784.61 = 232,341.15/x
  3. Step 3: Cross multiply
    392,179.41x = 586,784.61 × 232,341.15
  4. Step 4: Simplify right side
    392,179.41x = 136,334,211,089.70
  5. Step 5: Solve for x
    x = 136,334,211,089.70/392,179.41
  6. Step 6: Final answer
    x = 347,632.25

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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.