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Finding the Fourth Proportional to 511,049.16, 705,221.91 and 296,259.30

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Solution

The fourth proportional to 511,049.16, 705,221.91 and 296,259.30 is: 408,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,049.16 : 705,221.91 = 296,259.30 : x
  2. Step 2: Convert to fraction form
    511,049.16/705,221.91 = 296,259.30/x
  3. Step 3: Cross multiply
    511,049.16x = 705,221.91 × 296,259.30
  4. Step 4: Simplify right side
    511,049.16x = 208,928,549,401.26
  5. Step 5: Solve for x
    x = 208,928,549,401.26/511,049.16
  6. Step 6: Final answer
    x = 408,822.80

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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.