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Finding the Fourth Proportional to 277,727.10, 416,590.65 and 260,231.10

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Solution

The fourth proportional to 277,727.10, 416,590.65 and 260,231.10 is: 390,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,727.10 : 416,590.65 = 260,231.10 : x
  2. Step 2: Convert to fraction form
    277,727.10/416,590.65 = 260,231.10/x
  3. Step 3: Cross multiply
    277,727.10x = 416,590.65 × 260,231.10
  4. Step 4: Simplify right side
    277,727.10x = 108,409,843,099.22
  5. Step 5: Solve for x
    x = 108,409,843,099.22/277,727.10
  6. Step 6: Final answer
    x = 390,346.65

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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.