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Finding the Fourth Proportional to 652,214.20, 978,321.30 and 430,598.20

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Solution

The fourth proportional to 652,214.20, 978,321.30 and 430,598.20 is: 645,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,214.20 : 978,321.30 = 430,598.20 : x
  2. Step 2: Convert to fraction form
    652,214.20/978,321.30 = 430,598.20/x
  3. Step 3: Cross multiply
    652,214.20x = 978,321.30 × 430,598.20
  4. Step 4: Simplify right side
    652,214.20x = 421,263,390,801.66
  5. Step 5: Solve for x
    x = 421,263,390,801.66/652,214.20
  6. Step 6: Final answer
    x = 645,897.30

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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.