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Finding the Fourth Proportional to 427,782.07, 641,451.61 and 228,048.81

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Solution

The fourth proportional to 427,782.07, 641,451.61 and 228,048.81 is: 341,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,782.07 : 641,451.61 = 228,048.81 : x
  2. Step 2: Convert to fraction form
    427,782.07/641,451.61 = 228,048.81/x
  3. Step 3: Cross multiply
    427,782.07x = 641,451.61 × 228,048.81
  4. Step 4: Simplify right side
    427,782.07x = 146,282,276,333.08
  5. Step 5: Solve for x
    x = 146,282,276,333.08/427,782.07
  6. Step 6: Final answer
    x = 341,955.14

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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.