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Finding the Fourth Proportional to 498,203.16, 747,423.32 and 161,243.82

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Solution

The fourth proportional to 498,203.16, 747,423.32 and 161,243.82 is: 241,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,203.16 : 747,423.32 = 161,243.82 : x
  2. Step 2: Convert to fraction form
    498,203.16/747,423.32 = 161,243.82/x
  3. Step 3: Cross multiply
    498,203.16x = 747,423.32 × 161,243.82
  4. Step 4: Simplify right side
    498,203.16x = 120,517,386,730.55
  5. Step 5: Solve for x
    x = 120,517,386,730.55/498,203.16
  6. Step 6: Final answer
    x = 241,904.10

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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.