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Finding the Fourth Proportional to 652,055.20, 978,082.80 and 439,478.80

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Solution

The fourth proportional to 652,055.20, 978,082.80 and 439,478.80 is: 659,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,055.20 : 978,082.80 = 439,478.80 : x
  2. Step 2: Convert to fraction form
    652,055.20/978,082.80 = 439,478.80/x
  3. Step 3: Cross multiply
    652,055.20x = 978,082.80 × 439,478.80
  4. Step 4: Simplify right side
    652,055.20x = 429,846,655,244.64
  5. Step 5: Solve for x
    x = 429,846,655,244.64/652,055.20
  6. Step 6: Final answer
    x = 659,218.20

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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.