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Finding the Fourth Proportional to 652,422.40, 978,633.60 and 476,166.40

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Solution

The fourth proportional to 652,422.40, 978,633.60 and 476,166.40 is: 714,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,422.40 : 978,633.60 = 476,166.40 : x
  2. Step 2: Convert to fraction form
    652,422.40/978,633.60 = 476,166.40/x
  3. Step 3: Cross multiply
    652,422.40x = 978,633.60 × 476,166.40
  4. Step 4: Simplify right side
    652,422.40x = 465,992,438,231.04
  5. Step 5: Solve for x
    x = 465,992,438,231.04/652,422.40
  6. Step 6: Final answer
    x = 714,249.60

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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.