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Finding the Fourth Proportional to 475,773.25, 656,506.74 and 260,856.76

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Solution

The fourth proportional to 475,773.25, 656,506.74 and 260,856.76 is: 359,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,773.25 : 656,506.74 = 260,856.76 : x
  2. Step 2: Convert to fraction form
    475,773.25/656,506.74 = 260,856.76/x
  3. Step 3: Cross multiply
    475,773.25x = 656,506.74 × 260,856.76
  4. Step 4: Simplify right side
    475,773.25x = 171,254,221,114.56
  5. Step 5: Solve for x
    x = 171,254,221,114.56/475,773.25
  6. Step 6: Final answer
    x = 359,949.24

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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.