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Finding the Fourth Proportional to 261,002.70, 391,504.05 and 208,514.70

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Solution

The fourth proportional to 261,002.70, 391,504.05 and 208,514.70 is: 312,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,002.70 : 391,504.05 = 208,514.70 : x
  2. Step 2: Convert to fraction form
    261,002.70/391,504.05 = 208,514.70/x
  3. Step 3: Cross multiply
    261,002.70x = 391,504.05 × 208,514.70
  4. Step 4: Simplify right side
    261,002.70x = 81,634,349,534.54
  5. Step 5: Solve for x
    x = 81,634,349,534.54/261,002.70
  6. Step 6: Final answer
    x = 312,772.05

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