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Finding the Fourth Proportional to 438,652.80, 657,979.20 and 106,228.80

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Solution

The fourth proportional to 438,652.80, 657,979.20 and 106,228.80 is: 159,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,652.80 : 657,979.20 = 106,228.80 : x
  2. Step 2: Convert to fraction form
    438,652.80/657,979.20 = 106,228.80/x
  3. Step 3: Cross multiply
    438,652.80x = 657,979.20 × 106,228.80
  4. Step 4: Simplify right side
    438,652.80x = 69,896,340,840.96
  5. Step 5: Solve for x
    x = 69,896,340,840.96/438,652.80
  6. Step 6: Final answer
    x = 159,343.20

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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.