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Finding the Fourth Proportional to 475,470.63, 656,166.29 and 260,610.64

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Solution

The fourth proportional to 475,470.63, 656,166.29 and 260,610.64 is: 359,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470.63 : 656,166.29 = 260,610.64 : x
  2. Step 2: Convert to fraction form
    475,470.63/656,166.29 = 260,610.64/x
  3. Step 3: Cross multiply
    475,470.63x = 656,166.29 × 260,610.64
  4. Step 4: Simplify right side
    475,470.63x = 171,003,913,839.86
  5. Step 5: Solve for x
    x = 171,003,913,839.86/475,470.63
  6. Step 6: Final answer
    x = 359,651.90

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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.