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Finding the Fourth Proportional to 677,701, 1,016,551.50 and 234,469

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Solution

The fourth proportional to 677,701, 1,016,551.50 and 234,469 is: 351,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,701 : 1,016,551.50 = 234,469 : x
  2. Step 2: Convert to fraction form
    677,701/1,016,551.50 = 234,469/x
  3. Step 3: Cross multiply
    677,701x = 1,016,551.50 × 234,469
  4. Step 4: Simplify right side
    677,701x = 238,349,813,653.50
  5. Step 5: Solve for x
    x = 238,349,813,653.50/677,701
  6. Step 6: Final answer
    x = 351,703.50

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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.