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Finding the Fourth Proportional to 360,216.56, 497,084.80 and 207,304

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Solution

The fourth proportional to 360,216.56, 497,084.80 and 207,304 is: 286,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,216.56 : 497,084.80 = 207,304 : x
  2. Step 2: Convert to fraction form
    360,216.56/497,084.80 = 207,304/x
  3. Step 3: Cross multiply
    360,216.56x = 497,084.80 × 207,304
  4. Step 4: Simplify right side
    360,216.56x = 103,047,667,379.20
  5. Step 5: Solve for x
    x = 103,047,667,379.20/360,216.56
  6. Step 6: Final answer
    x = 286,071.43

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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.