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Finding the Fourth Proportional to 310,703.86, 428,767.24 and 174,737.76

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Solution

The fourth proportional to 310,703.86, 428,767.24 and 174,737.76 is: 241,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,703.86 : 428,767.24 = 174,737.76 : x
  2. Step 2: Convert to fraction form
    310,703.86/428,767.24 = 174,737.76/x
  3. Step 3: Cross multiply
    310,703.86x = 428,767.24 × 174,737.76
  4. Step 4: Simplify right side
    310,703.86x = 74,921,827,078.98
  5. Step 5: Solve for x
    x = 74,921,827,078.98/310,703.86
  6. Step 6: Final answer
    x = 241,135.81

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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.