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Finding the Fourth Proportional to 423,929.20, 584,437.58 and 338,179

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Solution

The fourth proportional to 423,929.20, 584,437.58 and 338,179 is: 466,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,929.20 : 584,437.58 = 338,179 : x
  2. Step 2: Convert to fraction form
    423,929.20/584,437.58 = 338,179/x
  3. Step 3: Cross multiply
    423,929.20x = 584,437.58 × 338,179
  4. Step 4: Simplify right side
    423,929.20x = 197,644,516,366.82
  5. Step 5: Solve for x
    x = 197,644,516,366.82/423,929.20
  6. Step 6: Final answer
    x = 466,220.58

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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.