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Finding the Fourth Proportional to 296,488.86, 409,343.13 and 194,694.95

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Solution

The fourth proportional to 296,488.86, 409,343.13 and 194,694.95 is: 268,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,488.86 : 409,343.13 = 194,694.95 : x
  2. Step 2: Convert to fraction form
    296,488.86/409,343.13 = 194,694.95/x
  3. Step 3: Cross multiply
    296,488.86x = 409,343.13 × 194,694.95
  4. Step 4: Simplify right side
    296,488.86x = 79,697,038,181.48
  5. Step 5: Solve for x
    x = 79,697,038,181.48/296,488.86
  6. Step 6: Final answer
    x = 268,802.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.