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Finding the Fourth Proportional to 650,543.90, 978,148.65 and 547,900.70

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Solution

The fourth proportional to 650,543.90, 978,148.65 and 547,900.70 is: 823,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,543.90 : 978,148.65 = 547,900.70 : x
  2. Step 2: Convert to fraction form
    650,543.90/978,148.65 = 547,900.70/x
  3. Step 3: Cross multiply
    650,543.90x = 978,148.65 × 547,900.70
  4. Step 4: Simplify right side
    650,543.90x = 535,928,330,039.06
  5. Step 5: Solve for x
    x = 535,928,330,039.06/650,543.90
  6. Step 6: Final answer
    x = 823,815.78

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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.