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Finding the Fourth Proportional to 359,561.76, 496,394.12 and 216,357

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Solution

The fourth proportional to 359,561.76, 496,394.12 and 216,357 is: 298,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,561.76 : 496,394.12 = 216,357 : x
  2. Step 2: Convert to fraction form
    359,561.76/496,394.12 = 216,357/x
  3. Step 3: Cross multiply
    359,561.76x = 496,394.12 × 216,357
  4. Step 4: Simplify right side
    359,561.76x = 107,398,342,620.84
  5. Step 5: Solve for x
    x = 107,398,342,620.84/359,561.76
  6. Step 6: Final answer
    x = 298,692.34

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1.5x scale

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.