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Finding the Fourth Proportional to 652,357.60, 978,536.40 and 413,209.15

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Solution

The fourth proportional to 652,357.60, 978,536.40 and 413,209.15 is: 619,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,357.60 : 978,536.40 = 413,209.15 : x
  2. Step 2: Convert to fraction form
    652,357.60/978,536.40 = 413,209.15/x
  3. Step 3: Cross multiply
    652,357.60x = 978,536.40 × 413,209.15
  4. Step 4: Simplify right side
    652,357.60x = 404,340,194,088.06
  5. Step 5: Solve for x
    x = 404,340,194,088.06/652,357.60
  6. Step 6: Final answer
    x = 619,813.73

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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.