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Finding the Fourth Proportional to 274,368.15, 384,377.85 and 274,368.15

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Solution

The fourth proportional to 274,368.15, 384,377.85 and 274,368.15 is: 384,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,368.15 : 384,377.85 = 274,368.15 : x
  2. Step 2: Convert to fraction form
    274,368.15/384,377.85 = 274,368.15/x
  3. Step 3: Cross multiply
    274,368.15x = 384,377.85 × 274,368.15
  4. Step 4: Simplify right side
    274,368.15x = 105,461,039,605.48
  5. Step 5: Solve for x
    x = 105,461,039,605.48/274,368.15
  6. Step 6: Final answer
    x = 384,377.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.