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Finding the Fourth Proportional to 460,034, 690,138.16 and 160,600.08

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Solution

The fourth proportional to 460,034, 690,138.16 and 160,600.08 is: 240,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,034 : 690,138.16 = 160,600.08 : x
  2. Step 2: Convert to fraction form
    460,034/690,138.16 = 160,600.08/x
  3. Step 3: Cross multiply
    460,034x = 690,138.16 × 160,600.08
  4. Step 4: Simplify right side
    460,034x = 110,836,243,707.05
  5. Step 5: Solve for x
    x = 110,836,243,707.05/460,034
  6. Step 6: Final answer
    x = 240,930.55

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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.