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Finding the Fourth Proportional to 652,201.20, 978,301.80 and 430,585.20

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Solution

The fourth proportional to 652,201.20, 978,301.80 and 430,585.20 is: 645,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,201.20 : 978,301.80 = 430,585.20 : x
  2. Step 2: Convert to fraction form
    652,201.20/978,301.80 = 430,585.20/x
  3. Step 3: Cross multiply
    652,201.20x = 978,301.80 × 430,585.20
  4. Step 4: Simplify right side
    652,201.20x = 421,242,276,213.36
  5. Step 5: Solve for x
    x = 421,242,276,213.36/652,201.20
  6. Step 6: Final answer
    x = 645,877.80

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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.