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Finding the Fourth Proportional to 399,234.30, 598,851.45 and 257,516.70

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Solution

The fourth proportional to 399,234.30, 598,851.45 and 257,516.70 is: 386,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,234.30 : 598,851.45 = 257,516.70 : x
  2. Step 2: Convert to fraction form
    399,234.30/598,851.45 = 257,516.70/x
  3. Step 3: Cross multiply
    399,234.30x = 598,851.45 × 257,516.70
  4. Step 4: Simplify right side
    399,234.30x = 154,214,249,194.22
  5. Step 5: Solve for x
    x = 154,214,249,194.22/399,234.30
  6. Step 6: Final answer
    x = 386,275.05

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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.