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Finding the Fourth Proportional to 415,940.40, 574,068.33 and 234,703.71

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Solution

The fourth proportional to 415,940.40, 574,068.33 and 234,703.71 is: 323,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940.40 : 574,068.33 = 234,703.71 : x
  2. Step 2: Convert to fraction form
    415,940.40/574,068.33 = 234,703.71/x
  3. Step 3: Cross multiply
    415,940.40x = 574,068.33 × 234,703.71
  4. Step 4: Simplify right side
    415,940.40x = 134,735,966,844.50
  5. Step 5: Solve for x
    x = 134,735,966,844.50/415,940.40
  6. Step 6: Final answer
    x = 323,930.95

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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.