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Finding the Fourth Proportional to 652,194.80, 978,292.20 and 561,993.20

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Solution

The fourth proportional to 652,194.80, 978,292.20 and 561,993.20 is: 842,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,194.80 : 978,292.20 = 561,993.20 : x
  2. Step 2: Convert to fraction form
    652,194.80/978,292.20 = 561,993.20/x
  3. Step 3: Cross multiply
    652,194.80x = 978,292.20 × 561,993.20
  4. Step 4: Simplify right side
    652,194.80x = 549,793,564,013.04
  5. Step 5: Solve for x
    x = 549,793,564,013.04/652,194.80
  6. Step 6: Final answer
    x = 842,989.80

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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.