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Finding the Fourth Proportional to 314,335.04, 471,490.94 and 136,842.44

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Solution

The fourth proportional to 314,335.04, 471,490.94 and 136,842.44 is: 205,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,335.04 : 471,490.94 = 136,842.44 : x
  2. Step 2: Convert to fraction form
    314,335.04/471,490.94 = 136,842.44/x
  3. Step 3: Cross multiply
    314,335.04x = 471,490.94 × 136,842.44
  4. Step 4: Simplify right side
    314,335.04x = 64,519,970,667.49
  5. Step 5: Solve for x
    x = 64,519,970,667.49/314,335.04
  6. Step 6: Final answer
    x = 205,258.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.