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Finding the Fourth Proportional to 496,309, 744,463.64 and 122,332

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Solution

The fourth proportional to 496,309, 744,463.64 and 122,332 is: 183,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,309 : 744,463.64 = 122,332 : x
  2. Step 2: Convert to fraction form
    496,309/744,463.64 = 122,332/x
  3. Step 3: Cross multiply
    496,309x = 744,463.64 × 122,332
  4. Step 4: Simplify right side
    496,309x = 91,071,725,396.82
  5. Step 5: Solve for x
    x = 91,071,725,396.82/496,309
  6. Step 6: Final answer
    x = 183,498.03

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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.