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Finding the Fourth Proportional to 652,197.60, 978,296.40 and 463,240.80

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Solution

The fourth proportional to 652,197.60, 978,296.40 and 463,240.80 is: 694,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,197.60 : 978,296.40 = 463,240.80 : x
  2. Step 2: Convert to fraction form
    652,197.60/978,296.40 = 463,240.80/x
  3. Step 3: Cross multiply
    652,197.60x = 978,296.40 × 463,240.80
  4. Step 4: Simplify right side
    652,197.60x = 453,186,806,973.12
  5. Step 5: Solve for x
    x = 453,186,806,973.12/652,197.60
  6. Step 6: Final answer
    x = 694,861.20

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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.