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Finding the Fourth Proportional to 304,088.78, 419,641.46 and 169,952.78

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Solution

The fourth proportional to 304,088.78, 419,641.46 and 169,952.78 is: 234,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,088.78 : 419,641.46 = 169,952.78 : x
  2. Step 2: Convert to fraction form
    304,088.78/419,641.46 = 169,952.78/x
  3. Step 3: Cross multiply
    304,088.78x = 419,641.46 × 169,952.78
  4. Step 4: Simplify right side
    304,088.78x = 71,319,232,730.26
  5. Step 5: Solve for x
    x = 71,319,232,730.26/304,088.78
  6. Step 6: Final answer
    x = 234,534.25

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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.