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Finding the Fourth Proportional to 280,977.76, 421,022.76 and 228,129.04

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Solution

The fourth proportional to 280,977.76, 421,022.76 and 228,129.04 is: 341,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,977.76 : 421,022.76 = 228,129.04 : x
  2. Step 2: Convert to fraction form
    280,977.76/421,022.76 = 228,129.04/x
  3. Step 3: Cross multiply
    280,977.76x = 421,022.76 × 228,129.04
  4. Step 4: Simplify right side
    280,977.76x = 96,047,518,056.95
  5. Step 5: Solve for x
    x = 96,047,518,056.95/280,977.76
  6. Step 6: Final answer
    x = 341,833.17

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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.