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Finding the Fourth Proportional to 388,832.94, 583,229.97 and 152,218.98

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Solution

The fourth proportional to 388,832.94, 583,229.97 and 152,218.98 is: 228,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,832.94 : 583,229.97 = 152,218.98 : x
  2. Step 2: Convert to fraction form
    388,832.94/583,229.97 = 152,218.98/x
  3. Step 3: Cross multiply
    388,832.94x = 583,229.97 × 152,218.98
  4. Step 4: Simplify right side
    388,832.94x = 88,778,671,138.83
  5. Step 5: Solve for x
    x = 88,778,671,138.83/388,832.94
  6. Step 6: Final answer
    x = 228,320.86

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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.