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Finding the Fourth Proportional to 347,885.22, 522,024.66 and 148,184.76

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Solution

The fourth proportional to 347,885.22, 522,024.66 and 148,184.76 is: 222,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,885.22 : 522,024.66 = 148,184.76 : x
  2. Step 2: Convert to fraction form
    347,885.22/522,024.66 = 148,184.76/x
  3. Step 3: Cross multiply
    347,885.22x = 522,024.66 × 148,184.76
  4. Step 4: Simplify right side
    347,885.22x = 77,356,098,956.18
  5. Step 5: Solve for x
    x = 77,356,098,956.18/347,885.22
  6. Step 6: Final answer
    x = 222,360.98

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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.