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Finding the Fourth Proportional to 314,796.34, 472,260.12 and 104,419.09

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Solution

The fourth proportional to 314,796.34, 472,260.12 and 104,419.09 is: 156,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,796.34 : 472,260.12 = 104,419.09 : x
  2. Step 2: Convert to fraction form
    314,796.34/472,260.12 = 104,419.09/x
  3. Step 3: Cross multiply
    314,796.34x = 472,260.12 × 104,419.09
  4. Step 4: Simplify right side
    314,796.34x = 49,312,971,973.69
  5. Step 5: Solve for x
    x = 49,312,971,973.69/314,796.34
  6. Step 6: Final answer
    x = 156,650.40

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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.