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Finding the Fourth Proportional to 652,104.80, 978,157.20 and 400,162.40

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Solution

The fourth proportional to 652,104.80, 978,157.20 and 400,162.40 is: 600,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,104.80 : 978,157.20 = 400,162.40 : x
  2. Step 2: Convert to fraction form
    652,104.80/978,157.20 = 400,162.40/x
  3. Step 3: Cross multiply
    652,104.80x = 978,157.20 × 400,162.40
  4. Step 4: Simplify right side
    652,104.80x = 391,421,732,729.28
  5. Step 5: Solve for x
    x = 391,421,732,729.28/652,104.80
  6. Step 6: Final answer
    x = 600,243.60

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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.