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Finding the Fourth Proportional to 375,494.52, 563,446.74 and 159,319.92

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Solution

The fourth proportional to 375,494.52, 563,446.74 and 159,319.92 is: 239,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,494.52 : 563,446.74 = 159,319.92 : x
  2. Step 2: Convert to fraction form
    375,494.52/563,446.74 = 159,319.92/x
  3. Step 3: Cross multiply
    375,494.52x = 563,446.74 × 159,319.92
  4. Step 4: Simplify right side
    375,494.52x = 89,768,289,541.06
  5. Step 5: Solve for x
    x = 89,768,289,541.06/375,494.52
  6. Step 6: Final answer
    x = 239,066.84

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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.