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Finding the Fourth Proportional to 460,097.88, 690,209.69 and 160,534.46

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Solution

The fourth proportional to 460,097.88, 690,209.69 and 160,534.46 is: 240,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,097.88 : 690,209.69 = 160,534.46 : x
  2. Step 2: Convert to fraction form
    460,097.88/690,209.69 = 160,534.46/x
  3. Step 3: Cross multiply
    460,097.88x = 690,209.69 × 160,534.46
  4. Step 4: Simplify right side
    460,097.88x = 110,802,439,870.92
  5. Step 5: Solve for x
    x = 110,802,439,870.92/460,097.88
  6. Step 6: Final answer
    x = 240,823.63

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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.