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Finding the Fourth Proportional to 359,486.12, 538,715.34 and 263,966.84

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Solution

The fourth proportional to 359,486.12, 538,715.34 and 263,966.84 is: 395,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,486.12 : 538,715.34 = 263,966.84 : x
  2. Step 2: Convert to fraction form
    359,486.12/538,715.34 = 263,966.84/x
  3. Step 3: Cross multiply
    359,486.12x = 538,715.34 × 263,966.84
  4. Step 4: Simplify right side
    359,486.12x = 142,202,985,959.33
  5. Step 5: Solve for x
    x = 142,202,985,959.33/359,486.12
  6. Step 6: Final answer
    x = 395,572.95

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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.