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Finding the Fourth Proportional to 415,999.41, 574,029.78 and 234,700.76

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Solution

The fourth proportional to 415,999.41, 574,029.78 and 234,700.76 is: 323,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,999.41 : 574,029.78 = 234,700.76 : x
  2. Step 2: Convert to fraction form
    415,999.41/574,029.78 = 234,700.76/x
  3. Step 3: Cross multiply
    415,999.41x = 574,029.78 × 234,700.76
  4. Step 4: Simplify right side
    415,999.41x = 134,725,222,758.48
  5. Step 5: Solve for x
    x = 134,725,222,758.48/415,999.41
  6. Step 6: Final answer
    x = 323,859.17

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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.