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Finding the Fourth Proportional to 317,156.60, 437,696.34 and 209,537.84

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Solution

The fourth proportional to 317,156.60, 437,696.34 and 209,537.84 is: 289,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,156.60 : 437,696.34 = 209,537.84 : x
  2. Step 2: Convert to fraction form
    317,156.60/437,696.34 = 209,537.84/x
  3. Step 3: Cross multiply
    317,156.60x = 437,696.34 × 209,537.84
  4. Step 4: Simplify right side
    317,156.60x = 91,713,945,659.51
  5. Step 5: Solve for x
    x = 91,713,945,659.51/317,156.60
  6. Step 6: Final answer
    x = 289,175.59

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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.