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Finding the Fourth Proportional to 314,339.44, 471,504.54 and 77,682.12

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Solution

The fourth proportional to 314,339.44, 471,504.54 and 77,682.12 is: 116,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,339.44 : 471,504.54 = 77,682.12 : x
  2. Step 2: Convert to fraction form
    314,339.44/471,504.54 = 77,682.12/x
  3. Step 3: Cross multiply
    314,339.44x = 471,504.54 × 77,682.12
  4. Step 4: Simplify right side
    314,339.44x = 36,627,472,256.82
  5. Step 5: Solve for x
    x = 36,627,472,256.82/314,339.44
  6. Step 6: Final answer
    x = 116,522.04

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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.