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Finding the Fourth Proportional to 466,465.36, 699,799.92 and 150,954.16

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Solution

The fourth proportional to 466,465.36, 699,799.92 and 150,954.16 is: 226,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,465.36 : 699,799.92 = 150,954.16 : x
  2. Step 2: Convert to fraction form
    466,465.36/699,799.92 = 150,954.16/x
  3. Step 3: Cross multiply
    466,465.36x = 699,799.92 × 150,954.16
  4. Step 4: Simplify right side
    466,465.36x = 105,637,709,091.67
  5. Step 5: Solve for x
    x = 105,637,709,091.67/466,465.36
  6. Step 6: Final answer
    x = 226,464.21

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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.