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Finding the Fourth Proportional to 253,307.60, 349,861.92 and 202,496.30

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Solution

The fourth proportional to 253,307.60, 349,861.92 and 202,496.30 is: 279,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,307.60 : 349,861.92 = 202,496.30 : x
  2. Step 2: Convert to fraction form
    253,307.60/349,861.92 = 202,496.30/x
  3. Step 3: Cross multiply
    253,307.60x = 349,861.92 × 202,496.30
  4. Step 4: Simplify right side
    253,307.60x = 70,845,744,310.90
  5. Step 5: Solve for x
    x = 70,845,744,310.90/253,307.60
  6. Step 6: Final answer
    x = 279,682.66

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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.