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Finding the Fourth Proportional to 652,189.60, 978,284.40 and 439,613.20

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Solution

The fourth proportional to 652,189.60, 978,284.40 and 439,613.20 is: 659,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,189.60 : 978,284.40 = 439,613.20 : x
  2. Step 2: Convert to fraction form
    652,189.60/978,284.40 = 439,613.20/x
  3. Step 3: Cross multiply
    652,189.60x = 978,284.40 × 439,613.20
  4. Step 4: Simplify right side
    652,189.60x = 430,066,735,594.08
  5. Step 5: Solve for x
    x = 430,066,735,594.08/652,189.60
  6. Step 6: Final answer
    x = 659,419.80

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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.