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Finding the Fourth Proportional to 503,523, 755,024.76 and 148,491

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Solution

The fourth proportional to 503,523, 755,024.76 and 148,491 is: 222,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,523 : 755,024.76 = 148,491 : x
  2. Step 2: Convert to fraction form
    503,523/755,024.76 = 148,491/x
  3. Step 3: Cross multiply
    503,523x = 755,024.76 × 148,491
  4. Step 4: Simplify right side
    503,523x = 112,114,381,637.16
  5. Step 5: Solve for x
    x = 112,114,381,637.16/503,523
  6. Step 6: Final answer
    x = 222,659.90

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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.