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Finding the Fourth Proportional to 476,712.15, 714,721.43 and 223,862.31

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Solution

The fourth proportional to 476,712.15, 714,721.43 and 223,862.31 is: 335,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,712.15 : 714,721.43 = 223,862.31 : x
  2. Step 2: Convert to fraction form
    476,712.15/714,721.43 = 223,862.31/x
  3. Step 3: Cross multiply
    476,712.15x = 714,721.43 × 223,862.31
  4. Step 4: Simplify right side
    476,712.15x = 159,999,189,206.99
  5. Step 5: Solve for x
    x = 159,999,189,206.99/476,712.15
  6. Step 6: Final answer
    x = 335,630.61

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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.