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Finding the Fourth Proportional to 410,373.24, 566,324.60 and 257,417.88

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Solution

The fourth proportional to 410,373.24, 566,324.60 and 257,417.88 is: 355,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,373.24 : 566,324.60 = 257,417.88 : x
  2. Step 2: Convert to fraction form
    410,373.24/566,324.60 = 257,417.88/x
  3. Step 3: Cross multiply
    410,373.24x = 566,324.60 × 257,417.88
  4. Step 4: Simplify right side
    410,373.24x = 145,782,077,923.85
  5. Step 5: Solve for x
    x = 145,782,077,923.85/410,373.24
  6. Step 6: Final answer
    x = 355,242.65

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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.