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Finding the Fourth Proportional to 650,965.90, 978,781.65 and 548,322.70

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Solution

The fourth proportional to 650,965.90, 978,781.65 and 548,322.70 is: 824,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,965.90 : 978,781.65 = 548,322.70 : x
  2. Step 2: Convert to fraction form
    650,965.90/978,781.65 = 548,322.70/x
  3. Step 3: Cross multiply
    650,965.90x = 978,781.65 × 548,322.70
  4. Step 4: Simplify right side
    650,965.90x = 536,688,197,038.46
  5. Step 5: Solve for x
    x = 536,688,197,038.46/650,965.90
  6. Step 6: Final answer
    x = 824,449.02

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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.