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Finding the Fourth Proportional to 652,213.20, 978,319.80 and 575,230.80

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Solution

The fourth proportional to 652,213.20, 978,319.80 and 575,230.80 is: 862,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,213.20 : 978,319.80 = 575,230.80 : x
  2. Step 2: Convert to fraction form
    652,213.20/978,319.80 = 575,230.80/x
  3. Step 3: Cross multiply
    652,213.20x = 978,319.80 × 575,230.80
  4. Step 4: Simplify right side
    652,213.20x = 562,759,681,209.84
  5. Step 5: Solve for x
    x = 562,759,681,209.84/652,213.20
  6. Step 6: Final answer
    x = 862,846.20

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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.