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Finding the Fourth Proportional to 488,163, 733,364.64 and 346,357.92

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Solution

The fourth proportional to 488,163, 733,364.64 and 346,357.92 is: 520,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,163 : 733,364.64 = 346,357.92 : x
  2. Step 2: Convert to fraction form
    488,163/733,364.64 = 346,357.92/x
  3. Step 3: Cross multiply
    488,163x = 733,364.64 × 346,357.92
  4. Step 4: Simplify right side
    488,163x = 254,006,651,311.95
  5. Step 5: Solve for x
    x = 254,006,651,311.95/488,163
  6. Step 6: Final answer
    x = 520,331.63

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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.