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Finding the Fourth Proportional to 652,137.80, 978,206.70 and 473,678.60

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Solution

The fourth proportional to 652,137.80, 978,206.70 and 473,678.60 is: 710,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137.80 : 978,206.70 = 473,678.60 : x
  2. Step 2: Convert to fraction form
    652,137.80/978,206.70 = 473,678.60/x
  3. Step 3: Cross multiply
    652,137.80x = 978,206.70 × 473,678.60
  4. Step 4: Simplify right side
    652,137.80x = 463,355,580,166.62
  5. Step 5: Solve for x
    x = 463,355,580,166.62/652,137.80
  6. Step 6: Final answer
    x = 710,517.90

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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.