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Finding the Fourth Proportional to 310,096.70, 465,145.05 and 110,642.30

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Solution

The fourth proportional to 310,096.70, 465,145.05 and 110,642.30 is: 165,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,096.70 : 465,145.05 = 110,642.30 : x
  2. Step 2: Convert to fraction form
    310,096.70/465,145.05 = 110,642.30/x
  3. Step 3: Cross multiply
    310,096.70x = 465,145.05 × 110,642.30
  4. Step 4: Simplify right side
    310,096.70x = 51,464,718,165.62
  5. Step 5: Solve for x
    x = 51,464,718,165.62/310,096.70
  6. Step 6: Final answer
    x = 165,963.45

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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.