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Finding the Fourth Proportional to 314,801.62, 472,269.92 and 101,581.68

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Solution

The fourth proportional to 314,801.62, 472,269.92 and 101,581.68 is: 152,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,801.62 : 472,269.92 = 101,581.68 : x
  2. Step 2: Convert to fraction form
    314,801.62/472,269.92 = 101,581.68/x
  3. Step 3: Cross multiply
    314,801.62x = 472,269.92 × 101,581.68
  4. Step 4: Simplify right side
    314,801.62x = 47,973,971,887.07
  5. Step 5: Solve for x
    x = 47,973,971,887.07/314,801.62
  6. Step 6: Final answer
    x = 152,394.30

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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.