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Finding the Fourth Proportional to 511,502.42, 767,726.85 and 258,960.35

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Solution

The fourth proportional to 511,502.42, 767,726.85 and 258,960.35 is: 388,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,502.42 : 767,726.85 = 258,960.35 : x
  2. Step 2: Convert to fraction form
    511,502.42/767,726.85 = 258,960.35/x
  3. Step 3: Cross multiply
    511,502.42x = 767,726.85 × 258,960.35
  4. Step 4: Simplify right side
    511,502.42x = 198,810,813,780.40
  5. Step 5: Solve for x
    x = 198,810,813,780.40/511,502.42
  6. Step 6: Final answer
    x = 388,680.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.