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Finding the Fourth Proportional to 582,026.70, 872,474.13 and 278,342.22

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Solution

The fourth proportional to 582,026.70, 872,474.13 and 278,342.22 is: 417,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,026.70 : 872,474.13 = 278,342.22 : x
  2. Step 2: Convert to fraction form
    582,026.70/872,474.13 = 278,342.22/x
  3. Step 3: Cross multiply
    582,026.70x = 872,474.13 × 278,342.22
  4. Step 4: Simplify right side
    582,026.70x = 242,846,386,236.77
  5. Step 5: Solve for x
    x = 242,846,386,236.77/582,026.70
  6. Step 6: Final answer
    x = 417,242.69

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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.