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Finding the Fourth Proportional to 273,400.40, 409,977.24 and 115,547.60

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Solution

The fourth proportional to 273,400.40, 409,977.24 and 115,547.60 is: 173,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,400.40 : 409,977.24 = 115,547.60 : x
  2. Step 2: Convert to fraction form
    273,400.40/409,977.24 = 115,547.60/x
  3. Step 3: Cross multiply
    273,400.40x = 409,977.24 × 115,547.60
  4. Step 4: Simplify right side
    273,400.40x = 47,371,886,136.62
  5. Step 5: Solve for x
    x = 47,371,886,136.62/273,400.40
  6. Step 6: Final answer
    x = 173,269.26

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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.