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Finding the Fourth Proportional to 652,146.40, 978,219.60 and 423,823.60

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Solution

The fourth proportional to 652,146.40, 978,219.60 and 423,823.60 is: 635,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,146.40 : 978,219.60 = 423,823.60 : x
  2. Step 2: Convert to fraction form
    652,146.40/978,219.60 = 423,823.60/x
  3. Step 3: Cross multiply
    652,146.40x = 978,219.60 × 423,823.60
  4. Step 4: Simplify right side
    652,146.40x = 414,592,552,462.56
  5. Step 5: Solve for x
    x = 414,592,552,462.56/652,146.40
  6. Step 6: Final answer
    x = 635,735.40

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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.