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Finding the Fourth Proportional to 329,267.30, 493,985.96 and 101,557.80

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Solution

The fourth proportional to 329,267.30, 493,985.96 and 101,557.80 is: 152,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,267.30 : 493,985.96 = 101,557.80 : x
  2. Step 2: Convert to fraction form
    329,267.30/493,985.96 = 101,557.80/x
  3. Step 3: Cross multiply
    329,267.30x = 493,985.96 × 101,557.80
  4. Step 4: Simplify right side
    329,267.30x = 50,168,126,820.70
  5. Step 5: Solve for x
    x = 50,168,126,820.70/329,267.30
  6. Step 6: Final answer
    x = 152,362.92

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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.