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Finding the Fourth Proportional to 511,228.98, 705,412.98 and 296,327.04

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Solution

The fourth proportional to 511,228.98, 705,412.98 and 296,327.04 is: 408,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,228.98 : 705,412.98 = 296,327.04 : x
  2. Step 2: Convert to fraction form
    511,228.98/705,412.98 = 296,327.04/x
  3. Step 3: Cross multiply
    511,228.98x = 705,412.98 × 296,327.04
  4. Step 4: Simplify right side
    511,228.98x = 209,032,940,340.98
  5. Step 5: Solve for x
    x = 209,032,940,340.98/511,228.98
  6. Step 6: Final answer
    x = 408,883.20

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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.