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Finding the Fourth Proportional to 469,670.28, 704,622 and 137,246.28

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Solution

The fourth proportional to 469,670.28, 704,622 and 137,246.28 is: 205,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,670.28 : 704,622 = 137,246.28 : x
  2. Step 2: Convert to fraction form
    469,670.28/704,622 = 137,246.28/x
  3. Step 3: Cross multiply
    469,670.28x = 704,622 × 137,246.28
  4. Step 4: Simplify right side
    469,670.28x = 96,706,748,306.16
  5. Step 5: Solve for x
    x = 96,706,748,306.16/469,670.28
  6. Step 6: Final answer
    x = 205,903.49

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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.