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Finding the Fourth Proportional to 567,114.66, 782,653.05 and 312,465.78

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Solution

The fourth proportional to 567,114.66, 782,653.05 and 312,465.78 is: 431,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,114.66 : 782,653.05 = 312,465.78 : x
  2. Step 2: Convert to fraction form
    567,114.66/782,653.05 = 312,465.78/x
  3. Step 3: Cross multiply
    567,114.66x = 782,653.05 × 312,465.78
  4. Step 4: Simplify right side
    567,114.66x = 244,552,295,737.63
  5. Step 5: Solve for x
    x = 244,552,295,737.63/567,114.66
  6. Step 6: Final answer
    x = 431,221.96

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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.