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Finding the Fourth Proportional to 460,615.62, 690,948.18 and 145,097.22

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Solution

The fourth proportional to 460,615.62, 690,948.18 and 145,097.22 is: 217,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,615.62 : 690,948.18 = 145,097.22 : x
  2. Step 2: Convert to fraction form
    460,615.62/690,948.18 = 145,097.22/x
  3. Step 3: Cross multiply
    460,615.62x = 690,948.18 × 145,097.22
  4. Step 4: Simplify right side
    460,615.62x = 100,254,660,082.06
  5. Step 5: Solve for x
    x = 100,254,660,082.06/460,615.62
  6. Step 6: Final answer
    x = 217,653.63

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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.