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Finding the Fourth Proportional to 314,674.40, 471,836.62 and 104,197.52

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Solution

The fourth proportional to 314,674.40, 471,836.62 and 104,197.52 is: 156,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,674.40 : 471,836.62 = 104,197.52 : x
  2. Step 2: Convert to fraction form
    314,674.40/471,836.62 = 104,197.52/x
  3. Step 3: Cross multiply
    314,674.40x = 471,836.62 × 104,197.52
  4. Step 4: Simplify right side
    314,674.40x = 49,164,205,649.18
  5. Step 5: Solve for x
    x = 49,164,205,649.18/314,674.40
  6. Step 6: Final answer
    x = 156,238.34

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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.