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Finding the Fourth Proportional to 274,698,209.80, 412,047,314.70 and 237,709,916.20

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Solution

The fourth proportional to 274,698,209.80, 412,047,314.70 and 237,709,916.20 is: 356,564,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,698,209.80 : 412,047,314.70 = 237,709,916.20 : x
  2. Step 2: Convert to fraction form
    274,698,209.80/412,047,314.70 = 237,709,916.20/x
  3. Step 3: Cross multiply
    274,698,209.80x = 412,047,314.70 × 237,709,916.20
  4. Step 4: Simplify right side
    274,698,209.80x = 97,947,732,647,772,016
  5. Step 5: Solve for x
    x = 97,947,732,647,772,016/274,698,209.80
  6. Step 6: Final answer
    x = 356,564,874.30

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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.