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Finding the Fourth Proportional to 475,610.34, 656,342.11 and 260,745.80

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Solution

The fourth proportional to 475,610.34, 656,342.11 and 260,745.80 is: 359,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,610.34 : 656,342.11 = 260,745.80 : x
  2. Step 2: Convert to fraction form
    475,610.34/656,342.11 = 260,745.80/x
  3. Step 3: Cross multiply
    475,610.34x = 656,342.11 × 260,745.80
  4. Step 4: Simplify right side
    475,610.34x = 171,138,444,612.06
  5. Step 5: Solve for x
    x = 171,138,444,612.06/475,610.34
  6. Step 6: Final answer
    x = 359,829.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.