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Finding the Fourth Proportional to 369,458.64, 509,853 and 199,692.24

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Solution

The fourth proportional to 369,458.64, 509,853 and 199,692.24 is: 275,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,458.64 : 509,853 = 199,692.24 : x
  2. Step 2: Convert to fraction form
    369,458.64/509,853 = 199,692.24/x
  3. Step 3: Cross multiply
    369,458.64x = 509,853 × 199,692.24
  4. Step 4: Simplify right side
    369,458.64x = 101,813,687,640.72
  5. Step 5: Solve for x
    x = 101,813,687,640.72/369,458.64
  6. Step 6: Final answer
    x = 275,575.33

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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.