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Finding the Fourth Proportional to 564,271.72, 845,755.43 and 260,029.85

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Solution

The fourth proportional to 564,271.72, 845,755.43 and 260,029.85 is: 389,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,271.72 : 845,755.43 = 260,029.85 : x
  2. Step 2: Convert to fraction form
    564,271.72/845,755.43 = 260,029.85/x
  3. Step 3: Cross multiply
    564,271.72x = 845,755.43 × 260,029.85
  4. Step 4: Simplify right side
    564,271.72x = 219,921,652,070.66
  5. Step 5: Solve for x
    x = 219,921,652,070.66/564,271.72
  6. Step 6: Final answer
    x = 389,744.24

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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.