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Finding the Fourth Proportional to 390,184.39, 538,498.17 and 220,429.45

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Solution

The fourth proportional to 390,184.39, 538,498.17 and 220,429.45 is: 304,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,184.39 : 538,498.17 = 220,429.45 : x
  2. Step 2: Convert to fraction form
    390,184.39/538,498.17 = 220,429.45/x
  3. Step 3: Cross multiply
    390,184.39x = 538,498.17 × 220,429.45
  4. Step 4: Simplify right side
    390,184.39x = 118,700,855,439.11
  5. Step 5: Solve for x
    x = 118,700,855,439.11/390,184.39
  6. Step 6: Final answer
    x = 304,217.34

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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.