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Finding the Fourth Proportional to 273,970.17, 411,038.33 and 194,162.45

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Solution

The fourth proportional to 273,970.17, 411,038.33 and 194,162.45 is: 291,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970.17 : 411,038.33 = 194,162.45 : x
  2. Step 2: Convert to fraction form
    273,970.17/411,038.33 = 194,162.45/x
  3. Step 3: Cross multiply
    273,970.17x = 411,038.33 × 194,162.45
  4. Step 4: Simplify right side
    273,970.17x = 79,808,206,170.70
  5. Step 5: Solve for x
    x = 79,808,206,170.70/273,970.17
  6. Step 6: Final answer
    x = 291,302.54

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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.