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Finding the Fourth Proportional to 582,292.56, 872,900.86 and 312,610.51

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Solution

The fourth proportional to 582,292.56, 872,900.86 and 312,610.51 is: 468,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,292.56 : 872,900.86 = 312,610.51 : x
  2. Step 2: Convert to fraction form
    582,292.56/872,900.86 = 312,610.51/x
  3. Step 3: Cross multiply
    582,292.56x = 872,900.86 × 312,610.51
  4. Step 4: Simplify right side
    582,292.56x = 272,877,983,024.04
  5. Step 5: Solve for x
    x = 272,877,983,024.04/582,292.56
  6. Step 6: Final answer
    x = 468,626.94

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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.