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Finding the Fourth Proportional to 417,959.86, 576,779.54 and 226,974.62

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Solution

The fourth proportional to 417,959.86, 576,779.54 and 226,974.62 is: 313,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,959.86 : 576,779.54 = 226,974.62 : x
  2. Step 2: Convert to fraction form
    417,959.86/576,779.54 = 226,974.62/x
  3. Step 3: Cross multiply
    417,959.86x = 576,779.54 × 226,974.62
  4. Step 4: Simplify right side
    417,959.86x = 130,914,316,915.28
  5. Step 5: Solve for x
    x = 130,914,316,915.28/417,959.86
  6. Step 6: Final answer
    x = 313,222.22

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1.5x scale

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.