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Finding the Fourth Proportional to 564,051.78, 846,017.37 and 159,234.03

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Solution

The fourth proportional to 564,051.78, 846,017.37 and 159,234.03 is: 238,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,051.78 : 846,017.37 = 159,234.03 : x
  2. Step 2: Convert to fraction form
    564,051.78/846,017.37 = 159,234.03/x
  3. Step 3: Cross multiply
    564,051.78x = 846,017.37 × 159,234.03
  4. Step 4: Simplify right side
    564,051.78x = 134,714,755,275.10
  5. Step 5: Solve for x
    x = 134,714,755,275.10/564,051.78
  6. Step 6: Final answer
    x = 238,834.02

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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.