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Finding the Fourth Proportional to 475,030.08, 712,479.24 and 120,022.24

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Solution

The fourth proportional to 475,030.08, 712,479.24 and 120,022.24 is: 180,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,030.08 : 712,479.24 = 120,022.24 : x
  2. Step 2: Convert to fraction form
    475,030.08/712,479.24 = 120,022.24/x
  3. Step 3: Cross multiply
    475,030.08x = 712,479.24 × 120,022.24
  4. Step 4: Simplify right side
    475,030.08x = 85,513,354,338.30
  5. Step 5: Solve for x
    x = 85,513,354,338.30/475,030.08
  6. Step 6: Final answer
    x = 180,016.71

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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.