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Finding the Fourth Proportional to 982,023, 1,470,978.64 and 791,404.08

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Solution

The fourth proportional to 982,023, 1,470,978.64 and 791,404.08 is: 1,185,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,023 : 1,470,978.64 = 791,404.08 : x
  2. Step 2: Convert to fraction form
    982,023/1,470,978.64 = 791,404.08/x
  3. Step 3: Cross multiply
    982,023x = 1,470,978.64 × 791,404.08
  4. Step 4: Simplify right side
    982,023x = 1,164,138,497,288.85
  5. Step 5: Solve for x
    x = 1,164,138,497,288.85/982,023
  6. Step 6: Final answer
    x = 1,185,449.32

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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.