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Finding the Fourth Proportional to 338,946.98, 508,423.37 and 86,227.74

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Solution

The fourth proportional to 338,946.98, 508,423.37 and 86,227.74 is: 129,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,946.98 : 508,423.37 = 86,227.74 : x
  2. Step 2: Convert to fraction form
    338,946.98/508,423.37 = 86,227.74/x
  3. Step 3: Cross multiply
    338,946.98x = 508,423.37 × 86,227.74
  4. Step 4: Simplify right side
    338,946.98x = 43,840,197,727.15
  5. Step 5: Solve for x
    x = 43,840,197,727.15/338,946.98
  6. Step 6: Final answer
    x = 129,342.35

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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.