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Finding the Fourth Proportional to 257,108.74, 384,884.76 and 233,416.24

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Solution

The fourth proportional to 257,108.74, 384,884.76 and 233,416.24 is: 349,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,108.74 : 384,884.76 = 233,416.24 : x
  2. Step 2: Convert to fraction form
    257,108.74/384,884.76 = 233,416.24/x
  3. Step 3: Cross multiply
    257,108.74x = 384,884.76 × 233,416.24
  4. Step 4: Simplify right side
    257,108.74x = 89,838,353,512.50
  5. Step 5: Solve for x
    x = 89,838,353,512.50/257,108.74
  6. Step 6: Final answer
    x = 349,417.73

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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.