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Finding the Fourth Proportional to 472,165.96, 708,387.35 and 152,311.44

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Solution

The fourth proportional to 472,165.96, 708,387.35 and 152,311.44 is: 228,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,165.96 : 708,387.35 = 152,311.44 : x
  2. Step 2: Convert to fraction form
    472,165.96/708,387.35 = 152,311.44/x
  3. Step 3: Cross multiply
    472,165.96x = 708,387.35 × 152,311.44
  4. Step 4: Simplify right side
    472,165.96x = 107,895,497,356.28
  5. Step 5: Solve for x
    x = 107,895,497,356.28/472,165.96
  6. Step 6: Final answer
    x = 228,511.81

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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.