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Finding the Fourth Proportional to 569,129.06, 785,392.52 and 314,474.78

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Solution

The fourth proportional to 569,129.06, 785,392.52 and 314,474.78 is: 433,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,129.06 : 785,392.52 = 314,474.78 : x
  2. Step 2: Convert to fraction form
    569,129.06/785,392.52 = 314,474.78/x
  3. Step 3: Cross multiply
    569,129.06x = 785,392.52 × 314,474.78
  4. Step 4: Simplify right side
    569,129.06x = 246,986,139,940.65
  5. Step 5: Solve for x
    x = 246,986,139,940.65/569,129.06
  6. Step 6: Final answer
    x = 433,972.11

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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.