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Finding the Fourth Proportional to 552,534.40, 830,769.90 and 465,929.20

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Solution

The fourth proportional to 552,534.40, 830,769.90 and 465,929.20 is: 700,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,534.40 : 830,769.90 = 465,929.20 : x
  2. Step 2: Convert to fraction form
    552,534.40/830,769.90 = 465,929.20/x
  3. Step 3: Cross multiply
    552,534.40x = 830,769.90 × 465,929.20
  4. Step 4: Simplify right side
    552,534.40x = 387,079,954,891.08
  5. Step 5: Solve for x
    x = 387,079,954,891.08/552,534.40
  6. Step 6: Final answer
    x = 700,553.59

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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.