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Finding the Fourth Proportional to 652,171.20, 978,256.80 and 428,222.40

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Solution

The fourth proportional to 652,171.20, 978,256.80 and 428,222.40 is: 642,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,171.20 : 978,256.80 = 428,222.40 : x
  2. Step 2: Convert to fraction form
    652,171.20/978,256.80 = 428,222.40/x
  3. Step 3: Cross multiply
    652,171.20x = 978,256.80 × 428,222.40
  4. Step 4: Simplify right side
    652,171.20x = 418,911,474,712.32
  5. Step 5: Solve for x
    x = 418,911,474,712.32/652,171.20
  6. Step 6: Final answer
    x = 642,333.60

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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.