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Finding the Fourth Proportional to 513,565.68, 770,617.13 and 210,185.04

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Solution

The fourth proportional to 513,565.68, 770,617.13 and 210,185.04 is: 315,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,565.68 : 770,617.13 = 210,185.04 : x
  2. Step 2: Convert to fraction form
    513,565.68/770,617.13 = 210,185.04/x
  3. Step 3: Cross multiply
    513,565.68x = 770,617.13 × 210,185.04
  4. Step 4: Simplify right side
    513,565.68x = 161,972,192,293.74
  5. Step 5: Solve for x
    x = 161,972,192,293.74/513,565.68
  6. Step 6: Final answer
    x = 315,387.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.