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Finding the Fourth Proportional to 420,810.40, 580,722.07 and 239,534

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Solution

The fourth proportional to 420,810.40, 580,722.07 and 239,534 is: 330,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,810.40 : 580,722.07 = 239,534 : x
  2. Step 2: Convert to fraction form
    420,810.40/580,722.07 = 239,534/x
  3. Step 3: Cross multiply
    420,810.40x = 580,722.07 × 239,534
  4. Step 4: Simplify right side
    420,810.40x = 139,102,680,315.38
  5. Step 5: Solve for x
    x = 139,102,680,315.38/420,810.40
  6. Step 6: Final answer
    x = 330,559.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.