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Finding the Fourth Proportional to 308,460.92, 462,691.35 and 173,533.95

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Solution

The fourth proportional to 308,460.92, 462,691.35 and 173,533.95 is: 260,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,460.92 : 462,691.35 = 173,533.95 : x
  2. Step 2: Convert to fraction form
    308,460.92/462,691.35 = 173,533.95/x
  3. Step 3: Cross multiply
    308,460.92x = 462,691.35 × 173,533.95
  4. Step 4: Simplify right side
    308,460.92x = 80,292,657,596.33
  5. Step 5: Solve for x
    x = 80,292,657,596.33/308,460.92
  6. Step 6: Final answer
    x = 260,300.91

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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.