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Finding the Fourth Proportional to 498,930.25, 748,384.77 and 161,970.42

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Solution

The fourth proportional to 498,930.25, 748,384.77 and 161,970.42 is: 242,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,930.25 : 748,384.77 = 161,970.42 : x
  2. Step 2: Convert to fraction form
    498,930.25/748,384.77 = 161,970.42/x
  3. Step 3: Cross multiply
    498,930.25x = 748,384.77 × 161,970.42
  4. Step 4: Simplify right side
    498,930.25x = 121,216,195,518.50
  5. Step 5: Solve for x
    x = 121,216,195,518.50/498,930.25
  6. Step 6: Final answer
    x = 242,952.19

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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.