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Finding the Fourth Proportional to 310,064.76, 464,764.50 and 160,264.44

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Solution

The fourth proportional to 310,064.76, 464,764.50 and 160,264.44 is: 240,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,064.76 : 464,764.50 = 160,264.44 : x
  2. Step 2: Convert to fraction form
    310,064.76/464,764.50 = 160,264.44/x
  3. Step 3: Cross multiply
    310,064.76x = 464,764.50 × 160,264.44
  4. Step 4: Simplify right side
    310,064.76x = 74,485,222,324.38
  5. Step 5: Solve for x
    x = 74,485,222,324.38/310,064.76
  6. Step 6: Final answer
    x = 240,224.73

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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.