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Finding the Fourth Proportional to 468,097.78, 645,974.36 and 253,237.18

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Solution

The fourth proportional to 468,097.78, 645,974.36 and 253,237.18 is: 349,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,097.78 : 645,974.36 = 253,237.18 : x
  2. Step 2: Convert to fraction form
    468,097.78/645,974.36 = 253,237.18/x
  3. Step 3: Cross multiply
    468,097.78x = 645,974.36 × 253,237.18
  4. Step 4: Simplify right side
    468,097.78x = 163,584,725,278.71
  5. Step 5: Solve for x
    x = 163,584,725,278.71/468,097.78
  6. Step 6: Final answer
    x = 349,467.00

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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.