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Finding the Fourth Proportional to 464,931, 697,396.50 and 114,723

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Solution

The fourth proportional to 464,931, 697,396.50 and 114,723 is: 172,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,931 : 697,396.50 = 114,723 : x
  2. Step 2: Convert to fraction form
    464,931/697,396.50 = 114,723/x
  3. Step 3: Cross multiply
    464,931x = 697,396.50 × 114,723
  4. Step 4: Simplify right side
    464,931x = 80,007,418,669.50
  5. Step 5: Solve for x
    x = 80,007,418,669.50/464,931
  6. Step 6: Final answer
    x = 172,084.50

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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.