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Finding the Fourth Proportional to 582,974.89, 872,905.92 and 342,888.46

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Solution

The fourth proportional to 582,974.89, 872,905.92 and 342,888.46 is: 513,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,974.89 : 872,905.92 = 342,888.46 : x
  2. Step 2: Convert to fraction form
    582,974.89/872,905.92 = 342,888.46/x
  3. Step 3: Cross multiply
    582,974.89x = 872,905.92 × 342,888.46
  4. Step 4: Simplify right side
    582,974.89x = 299,309,366,633.68
  5. Step 5: Solve for x
    x = 299,309,366,633.68/582,974.89
  6. Step 6: Final answer
    x = 513,417.25

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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.