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Finding the Fourth Proportional to 519,670.84, 779,527.94 and 164,677

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Solution

The fourth proportional to 519,670.84, 779,527.94 and 164,677 is: 247,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,670.84 : 779,527.94 = 164,677 : x
  2. Step 2: Convert to fraction form
    519,670.84/779,527.94 = 164,677/x
  3. Step 3: Cross multiply
    519,670.84x = 779,527.94 × 164,677
  4. Step 4: Simplify right side
    519,670.84x = 128,370,322,575.38
  5. Step 5: Solve for x
    x = 128,370,322,575.38/519,670.84
  6. Step 6: Final answer
    x = 247,022.37

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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.