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Finding the Fourth Proportional to 468,098.78, 645,975.74 and 253,238.18

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Solution

The fourth proportional to 468,098.78, 645,975.74 and 253,238.18 is: 349,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,098.78 : 645,975.74 = 253,238.18 : x
  2. Step 2: Convert to fraction form
    468,098.78/645,975.74 = 253,238.18/x
  3. Step 3: Cross multiply
    468,098.78x = 645,975.74 × 253,238.18
  4. Step 4: Simplify right side
    468,098.78x = 163,585,720,721.75
  5. Step 5: Solve for x
    x = 163,585,720,721.75/468,098.78
  6. Step 6: Final answer
    x = 349,468.38

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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.