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Finding the Fourth Proportional to 402,998.60, 604,352.10 and 163,011.80

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Solution

The fourth proportional to 402,998.60, 604,352.10 and 163,011.80 is: 244,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,998.60 : 604,352.10 = 163,011.80 : x
  2. Step 2: Convert to fraction form
    402,998.60/604,352.10 = 163,011.80/x
  3. Step 3: Cross multiply
    402,998.60x = 604,352.10 × 163,011.80
  4. Step 4: Simplify right side
    402,998.60x = 98,516,523,654.78
  5. Step 5: Solve for x
    x = 98,516,523,654.78/402,998.60
  6. Step 6: Final answer
    x = 244,458.72

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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.