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Finding the Fourth Proportional to 578,060.77, 797,724.56 and 323,412.16

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Solution

The fourth proportional to 578,060.77, 797,724.56 and 323,412.16 is: 446,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,060.77 : 797,724.56 = 323,412.16 : x
  2. Step 2: Convert to fraction form
    578,060.77/797,724.56 = 323,412.16/x
  3. Step 3: Cross multiply
    578,060.77x = 797,724.56 × 323,412.16
  4. Step 4: Simplify right side
    578,060.77x = 257,993,823,034.65
  5. Step 5: Solve for x
    x = 257,993,823,034.65/578,060.77
  6. Step 6: Final answer
    x = 446,309.17

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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.