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Finding the Fourth Proportional to 257,059.20, 385,588.80 and 162,580.80

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Solution

The fourth proportional to 257,059.20, 385,588.80 and 162,580.80 is: 243,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,059.20 : 385,588.80 = 162,580.80 : x
  2. Step 2: Convert to fraction form
    257,059.20/385,588.80 = 162,580.80/x
  3. Step 3: Cross multiply
    257,059.20x = 385,588.80 × 162,580.80
  4. Step 4: Simplify right side
    257,059.20x = 62,689,335,575.04
  5. Step 5: Solve for x
    x = 62,689,335,575.04/257,059.20
  6. Step 6: Final answer
    x = 243,871.20

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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.