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Finding the Fourth Proportional to 532,894.40, 800,216.40 and 356,184.80

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Solution

The fourth proportional to 532,894.40, 800,216.40 and 356,184.80 is: 534,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,894.40 : 800,216.40 = 356,184.80 : x
  2. Step 2: Convert to fraction form
    532,894.40/800,216.40 = 356,184.80/x
  3. Step 3: Cross multiply
    532,894.40x = 800,216.40 × 356,184.80
  4. Step 4: Simplify right side
    532,894.40x = 285,024,918,390.72
  5. Step 5: Solve for x
    x = 285,024,918,390.72/532,894.40
  6. Step 6: Final answer
    x = 534,861.91

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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.