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Finding the Fourth Proportional to 511,012.59, 705,041.26 and 296,111.13

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Solution

The fourth proportional to 511,012.59, 705,041.26 and 296,111.13 is: 408,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,012.59 : 705,041.26 = 296,111.13 : x
  2. Step 2: Convert to fraction form
    511,012.59/705,041.26 = 296,111.13/x
  3. Step 3: Cross multiply
    511,012.59x = 705,041.26 × 296,111.13
  4. Step 4: Simplify right side
    511,012.59x = 208,770,564,195.22
  5. Step 5: Solve for x
    x = 208,770,564,195.22/511,012.59
  6. Step 6: Final answer
    x = 408,542.90

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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.