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Finding the Fourth Proportional to 332,419.80, 498,301.65 and 163,802.10

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Solution

The fourth proportional to 332,419.80, 498,301.65 and 163,802.10 is: 245,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,419.80 : 498,301.65 = 163,802.10 : x
  2. Step 2: Convert to fraction form
    332,419.80/498,301.65 = 163,802.10/x
  3. Step 3: Cross multiply
    332,419.80x = 498,301.65 × 163,802.10
  4. Step 4: Simplify right side
    332,419.80x = 81,622,856,703.47
  5. Step 5: Solve for x
    x = 81,622,856,703.47/332,419.80
  6. Step 6: Final answer
    x = 245,541.50

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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.