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Finding the Fourth Proportional to 978,148.70, 1,367,749.30 and 978,148.70

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Solution

The fourth proportional to 978,148.70, 1,367,749.30 and 978,148.70 is: 1,367,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,148.70 : 1,367,749.30 = 978,148.70 : x
  2. Step 2: Convert to fraction form
    978,148.70/1,367,749.30 = 978,148.70/x
  3. Step 3: Cross multiply
    978,148.70x = 1,367,749.30 × 978,148.70
  4. Step 4: Simplify right side
    978,148.70x = 1,337,862,199,720.91
  5. Step 5: Solve for x
    x = 1,337,862,199,720.91/978,148.70
  6. Step 6: Final answer
    x = 1,367,749.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.