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Finding the Fourth Proportional to 297,712.80, 446,569.20 and 110,685.60

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Solution

The fourth proportional to 297,712.80, 446,569.20 and 110,685.60 is: 166,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,712.80 : 446,569.20 = 110,685.60 : x
  2. Step 2: Convert to fraction form
    297,712.80/446,569.20 = 110,685.60/x
  3. Step 3: Cross multiply
    297,712.80x = 446,569.20 × 110,685.60
  4. Step 4: Simplify right side
    297,712.80x = 49,428,779,843.52
  5. Step 5: Solve for x
    x = 49,428,779,843.52/297,712.80
  6. Step 6: Final answer
    x = 166,028.40

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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.