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Finding the Fourth Proportional to 458,283.84, 687,697.92 and 247,917.12

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Solution

The fourth proportional to 458,283.84, 687,697.92 and 247,917.12 is: 372,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,283.84 : 687,697.92 = 247,917.12 : x
  2. Step 2: Convert to fraction form
    458,283.84/687,697.92 = 247,917.12/x
  3. Step 3: Cross multiply
    458,283.84x = 687,697.92 × 247,917.12
  4. Step 4: Simplify right side
    458,283.84x = 170,492,087,756.39
  5. Step 5: Solve for x
    x = 170,492,087,756.39/458,283.84
  6. Step 6: Final answer
    x = 372,022.91

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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.