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Finding the Fourth Proportional to 475,369.86, 656,015.57 and 260,505.31

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Solution

The fourth proportional to 475,369.86, 656,015.57 and 260,505.31 is: 359,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,369.86 : 656,015.57 = 260,505.31 : x
  2. Step 2: Convert to fraction form
    475,369.86/656,015.57 = 260,505.31/x
  3. Step 3: Cross multiply
    475,369.86x = 656,015.57 × 260,505.31
  4. Step 4: Simplify right side
    475,369.86x = 170,895,539,427.68
  5. Step 5: Solve for x
    x = 170,895,539,427.68/475,369.86
  6. Step 6: Final answer
    x = 359,500.16

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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.