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Finding the Fourth Proportional to 280,656.34, 387,433.20 and 178,821.42

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Solution

The fourth proportional to 280,656.34, 387,433.20 and 178,821.42 is: 246,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,656.34 : 387,433.20 = 178,821.42 : x
  2. Step 2: Convert to fraction form
    280,656.34/387,433.20 = 178,821.42/x
  3. Step 3: Cross multiply
    280,656.34x = 387,433.20 × 178,821.42
  4. Step 4: Simplify right side
    280,656.34x = 69,281,355,873.23
  5. Step 5: Solve for x
    x = 69,281,355,873.23/280,656.34
  6. Step 6: Final answer
    x = 246,854.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.