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Finding the Fourth Proportional to 503,102.32, 754,557.14 and 195,354.30

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Solution

The fourth proportional to 503,102.32, 754,557.14 and 195,354.30 is: 292,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,102.32 : 754,557.14 = 195,354.30 : x
  2. Step 2: Convert to fraction form
    503,102.32/754,557.14 = 195,354.30/x
  3. Step 3: Cross multiply
    503,102.32x = 754,557.14 × 195,354.30
  4. Step 4: Simplify right side
    503,102.32x = 147,405,981,894.70
  5. Step 5: Solve for x
    x = 147,405,981,894.70/503,102.32
  6. Step 6: Final answer
    x = 292,994.04

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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.