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Finding the Fourth Proportional to 475,577.84, 656,380.66 and 361,235

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Solution

The fourth proportional to 475,577.84, 656,380.66 and 361,235 is: 498,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,577.84 : 656,380.66 = 361,235 : x
  2. Step 2: Convert to fraction form
    475,577.84/656,380.66 = 361,235/x
  3. Step 3: Cross multiply
    475,577.84x = 656,380.66 × 361,235
  4. Step 4: Simplify right side
    475,577.84x = 237,107,667,715.10
  5. Step 5: Solve for x
    x = 237,107,667,715.10/475,577.84
  6. Step 6: Final answer
    x = 498,567.53

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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.