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Finding the Fourth Proportional to 310,212.28, 465,411.84 and 110,506.60

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Solution

The fourth proportional to 310,212.28, 465,411.84 and 110,506.60 is: 165,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,212.28 : 465,411.84 = 110,506.60 : x
  2. Step 2: Convert to fraction form
    310,212.28/465,411.84 = 110,506.60/x
  3. Step 3: Cross multiply
    310,212.28x = 465,411.84 × 110,506.60
  4. Step 4: Simplify right side
    310,212.28x = 51,431,080,038.14
  5. Step 5: Solve for x
    x = 51,431,080,038.14/310,212.28
  6. Step 6: Final answer
    x = 165,793.18

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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.