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Finding the Fourth Proportional to 475,609.68, 713,406.29 and 160,066.59

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Solution

The fourth proportional to 475,609.68, 713,406.29 and 160,066.59 is: 240,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,609.68 : 713,406.29 = 160,066.59 : x
  2. Step 2: Convert to fraction form
    475,609.68/713,406.29 = 160,066.59/x
  3. Step 3: Cross multiply
    475,609.68x = 713,406.29 × 160,066.59
  4. Step 4: Simplify right side
    475,609.68x = 114,192,510,163.78
  5. Step 5: Solve for x
    x = 114,192,510,163.78/475,609.68
  6. Step 6: Final answer
    x = 240,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.