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Finding the Fourth Proportional to 314,360.64, 471,494.16 and 114,634.08

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Solution

The fourth proportional to 314,360.64, 471,494.16 and 114,634.08 is: 171,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,360.64 : 471,494.16 = 114,634.08 : x
  2. Step 2: Convert to fraction form
    314,360.64/471,494.16 = 114,634.08/x
  3. Step 3: Cross multiply
    314,360.64x = 471,494.16 × 114,634.08
  4. Step 4: Simplify right side
    314,360.64x = 54,049,299,256.97
  5. Step 5: Solve for x
    x = 54,049,299,256.97/314,360.64
  6. Step 6: Final answer
    x = 171,934.05

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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.