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Finding the Fourth Proportional to 511,367.98, 705,531.43 and 296,465.16

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Solution

The fourth proportional to 511,367.98, 705,531.43 and 296,465.16 is: 409,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,367.98 : 705,531.43 = 296,465.16 : x
  2. Step 2: Convert to fraction form
    511,367.98/705,531.43 = 296,465.16/x
  3. Step 3: Cross multiply
    511,367.98x = 705,531.43 × 296,465.16
  4. Step 4: Simplify right side
    511,367.98x = 209,165,488,279.98
  5. Step 5: Solve for x
    x = 209,165,488,279.98/511,367.98
  6. Step 6: Final answer
    x = 409,031.26

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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.