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Finding the Fourth Proportional to 257,728.50, 355,820.85 and 168,460.02

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Solution

The fourth proportional to 257,728.50, 355,820.85 and 168,460.02 is: 232,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,728.50 : 355,820.85 = 168,460.02 : x
  2. Step 2: Convert to fraction form
    257,728.50/355,820.85 = 168,460.02/x
  3. Step 3: Cross multiply
    257,728.50x = 355,820.85 × 168,460.02
  4. Step 4: Simplify right side
    257,728.50x = 59,941,587,507.42
  5. Step 5: Solve for x
    x = 59,941,587,507.42/257,728.50
  6. Step 6: Final answer
    x = 232,576.48

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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.