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Finding the Fourth Proportional to 417,999.34, 576,842.47 and 227,014.10

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Solution

The fourth proportional to 417,999.34, 576,842.47 and 227,014.10 is: 313,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,999.34 : 576,842.47 = 227,014.10 : x
  2. Step 2: Convert to fraction form
    417,999.34/576,842.47 = 227,014.10/x
  3. Step 3: Cross multiply
    417,999.34x = 576,842.47 × 227,014.10
  4. Step 4: Simplify right side
    417,999.34x = 130,951,371,568.38
  5. Step 5: Solve for x
    x = 130,951,371,568.38/417,999.34
  6. Step 6: Final answer
    x = 313,281.29

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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.