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Finding the Fourth Proportional to 519,732.84, 779,626.98 and 164,774.64

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Solution

The fourth proportional to 519,732.84, 779,626.98 and 164,774.64 is: 247,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,732.84 : 779,626.98 = 164,774.64 : x
  2. Step 2: Convert to fraction form
    519,732.84/779,626.98 = 164,774.64/x
  3. Step 3: Cross multiply
    519,732.84x = 779,626.98 × 164,774.64
  4. Step 4: Simplify right side
    519,732.84x = 128,462,754,963.79
  5. Step 5: Solve for x
    x = 128,462,754,963.79/519,732.84
  6. Step 6: Final answer
    x = 247,170.75

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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.