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Finding the Fourth Proportional to 402,192.96, 603,367.16 and 152,855.52

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Solution

The fourth proportional to 402,192.96, 603,367.16 and 152,855.52 is: 229,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,192.96 : 603,367.16 = 152,855.52 : x
  2. Step 2: Convert to fraction form
    402,192.96/603,367.16 = 152,855.52/x
  3. Step 3: Cross multiply
    402,192.96x = 603,367.16 × 152,855.52
  4. Step 4: Simplify right side
    402,192.96x = 92,228,000,992.72
  5. Step 5: Solve for x
    x = 92,228,000,992.72/402,192.96
  6. Step 6: Final answer
    x = 229,312.82

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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.