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Finding the Fourth Proportional to 276,047.60, 414,071.40 and 181,569.20

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Solution

The fourth proportional to 276,047.60, 414,071.40 and 181,569.20 is: 272,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.60 : 414,071.40 = 181,569.20 : x
  2. Step 2: Convert to fraction form
    276,047.60/414,071.40 = 181,569.20/x
  3. Step 3: Cross multiply
    276,047.60x = 414,071.40 × 181,569.20
  4. Step 4: Simplify right side
    276,047.60x = 75,182,612,840.88
  5. Step 5: Solve for x
    x = 75,182,612,840.88/276,047.60
  6. Step 6: Final answer
    x = 272,353.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.