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Finding the Fourth Proportional to 410,155.09, 565,929.52 and 235,691.60

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Solution

The fourth proportional to 410,155.09, 565,929.52 and 235,691.60 is: 325,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,155.09 : 565,929.52 = 235,691.60 : x
  2. Step 2: Convert to fraction form
    410,155.09/565,929.52 = 235,691.60/x
  3. Step 3: Cross multiply
    410,155.09x = 565,929.52 × 235,691.60
  4. Step 4: Simplify right side
    410,155.09x = 133,384,832,228.41
  5. Step 5: Solve for x
    x = 133,384,832,228.41/410,155.09
  6. Step 6: Final answer
    x = 325,205.85

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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.