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Finding the Fourth Proportional to 291,694.76, 402,538.77 and 164,374.91

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Solution

The fourth proportional to 291,694.76, 402,538.77 and 164,374.91 is: 226,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,694.76 : 402,538.77 = 164,374.91 : x
  2. Step 2: Convert to fraction form
    291,694.76/402,538.77 = 164,374.91/x
  3. Step 3: Cross multiply
    291,694.76x = 402,538.77 × 164,374.91
  4. Step 4: Simplify right side
    291,694.76x = 66,167,272,077.57
  5. Step 5: Solve for x
    x = 66,167,272,077.57/291,694.76
  6. Step 6: Final answer
    x = 226,837.37

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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.