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Finding the Fourth Proportional to 473,122.56, 709,895.04 and 257,046.88

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Solution

The fourth proportional to 473,122.56, 709,895.04 and 257,046.88 is: 385,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,122.56 : 709,895.04 = 257,046.88 : x
  2. Step 2: Convert to fraction form
    473,122.56/709,895.04 = 257,046.88/x
  3. Step 3: Cross multiply
    473,122.56x = 709,895.04 × 257,046.88
  4. Step 4: Simplify right side
    473,122.56x = 182,476,305,159.48
  5. Step 5: Solve for x
    x = 182,476,305,159.48/473,122.56
  6. Step 6: Final answer
    x = 385,685.06

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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.