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Finding the Fourth Proportional to 652,186.80, 978,280.20 and 473,727.60

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Solution

The fourth proportional to 652,186.80, 978,280.20 and 473,727.60 is: 710,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,186.80 : 978,280.20 = 473,727.60 : x
  2. Step 2: Convert to fraction form
    652,186.80/978,280.20 = 473,727.60/x
  3. Step 3: Cross multiply
    652,186.80x = 978,280.20 × 473,727.60
  4. Step 4: Simplify right side
    652,186.80x = 463,438,331,273.52
  5. Step 5: Solve for x
    x = 463,438,331,273.52/652,186.80
  6. Step 6: Final answer
    x = 710,591.40

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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.