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Finding the Fourth Proportional to 1,178,098, 1,767,147 and 291,634

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Solution

The fourth proportional to 1,178,098, 1,767,147 and 291,634 is: 437,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,098 : 1,767,147 = 291,634 : x
  2. Step 2: Convert to fraction form
    1,178,098/1,767,147 = 291,634/x
  3. Step 3: Cross multiply
    1,178,098x = 1,767,147 × 291,634
  4. Step 4: Simplify right side
    1,178,098x = 515,360,148,198
  5. Step 5: Solve for x
    x = 515,360,148,198/1,178,098
  6. Step 6: Final answer
    x = 437,451

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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.