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Finding the Fourth Proportional to 475,438.78, 656,110.65 and 260,574.22

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Solution

The fourth proportional to 475,438.78, 656,110.65 and 260,574.22 is: 359,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,438.78 : 656,110.65 = 260,574.22 : x
  2. Step 2: Convert to fraction form
    475,438.78/656,110.65 = 260,574.22/x
  3. Step 3: Cross multiply
    475,438.78x = 656,110.65 × 260,574.22
  4. Step 4: Simplify right side
    475,438.78x = 170,965,520,857.44
  5. Step 5: Solve for x
    x = 170,965,520,857.44/475,438.78
  6. Step 6: Final answer
    x = 359,595.24

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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.