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Finding the Fourth Proportional to 475,605.54, 656,335.46 and 260,741

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Solution

The fourth proportional to 475,605.54, 656,335.46 and 260,741 is: 359,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,605.54 : 656,335.46 = 260,741 : x
  2. Step 2: Convert to fraction form
    475,605.54/656,335.46 = 260,741/x
  3. Step 3: Cross multiply
    475,605.54x = 656,335.46 × 260,741
  4. Step 4: Simplify right side
    475,605.54x = 171,133,564,175.86
  5. Step 5: Solve for x
    x = 171,133,564,175.86/475,605.54
  6. Step 6: Final answer
    x = 359,822.48

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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.