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Finding the Fourth Proportional to 253,441.34, 349,175.48 and 208,047.46

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Solution

The fourth proportional to 253,441.34, 349,175.48 and 208,047.46 is: 286,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,441.34 : 349,175.48 = 208,047.46 : x
  2. Step 2: Convert to fraction form
    253,441.34/349,175.48 = 208,047.46/x
  3. Step 3: Cross multiply
    253,441.34x = 349,175.48 × 208,047.46
  4. Step 4: Simplify right side
    253,441.34x = 72,645,068,922.17
  5. Step 5: Solve for x
    x = 72,645,068,922.17/253,441.34
  6. Step 6: Final answer
    x = 286,634.65

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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.