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Finding the Fourth Proportional to 613,712.80, 920,569.20 and 193,117.60

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Solution

The fourth proportional to 613,712.80, 920,569.20 and 193,117.60 is: 289,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,712.80 : 920,569.20 = 193,117.60 : x
  2. Step 2: Convert to fraction form
    613,712.80/920,569.20 = 193,117.60/x
  3. Step 3: Cross multiply
    613,712.80x = 920,569.20 × 193,117.60
  4. Step 4: Simplify right side
    613,712.80x = 177,778,114,537.92
  5. Step 5: Solve for x
    x = 177,778,114,537.92/613,712.80
  6. Step 6: Final answer
    x = 289,676.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.