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Finding the Fourth Proportional to 566,193.63, 781,352.67 and 311,550.28

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Solution

The fourth proportional to 566,193.63, 781,352.67 and 311,550.28 is: 429,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,193.63 : 781,352.67 = 311,550.28 : x
  2. Step 2: Convert to fraction form
    566,193.63/781,352.67 = 311,550.28/x
  3. Step 3: Cross multiply
    566,193.63x = 781,352.67 × 311,550.28
  4. Step 4: Simplify right side
    566,193.63x = 243,430,643,117.25
  5. Step 5: Solve for x
    x = 243,430,643,117.25/566,193.63
  6. Step 6: Final answer
    x = 429,942.39

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Why These Related Problems?

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