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Finding the Fourth Proportional to 307,856.64, 424,722.24 and 207,321.60

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Solution

The fourth proportional to 307,856.64, 424,722.24 and 207,321.60 is: 286,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856.64 : 424,722.24 = 207,321.60 : x
  2. Step 2: Convert to fraction form
    307,856.64/424,722.24 = 207,321.60/x
  3. Step 3: Cross multiply
    307,856.64x = 424,722.24 × 207,321.60
  4. Step 4: Simplify right side
    307,856.64x = 88,054,094,352.38
  5. Step 5: Solve for x
    x = 88,054,094,352.38/307,856.64
  6. Step 6: Final answer
    x = 286,023.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.