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Finding the Fourth Proportional to 614,248.80, 847,692.24 and 359,682

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Solution

The fourth proportional to 614,248.80, 847,692.24 and 359,682 is: 496,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,248.80 : 847,692.24 = 359,682 : x
  2. Step 2: Convert to fraction form
    614,248.80/847,692.24 = 359,682/x
  3. Step 3: Cross multiply
    614,248.80x = 847,692.24 × 359,682
  4. Step 4: Simplify right side
    614,248.80x = 304,899,640,267.68
  5. Step 5: Solve for x
    x = 304,899,640,267.68/614,248.80
  6. Step 6: Final answer
    x = 496,378.08

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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.