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Finding the Fourth Proportional to 460,552.68, 690,853.68 and 145,034.16

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Solution

The fourth proportional to 460,552.68, 690,853.68 and 145,034.16 is: 217,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,552.68 : 690,853.68 = 145,034.16 : x
  2. Step 2: Convert to fraction form
    460,552.68/690,853.68 = 145,034.16/x
  3. Step 3: Cross multiply
    460,552.68x = 690,853.68 × 145,034.16
  4. Step 4: Simplify right side
    460,552.68x = 100,197,383,161.71
  5. Step 5: Solve for x
    x = 100,197,383,161.71/460,552.68
  6. Step 6: Final answer
    x = 217,559.01

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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.