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Finding the Fourth Proportional to 405,894.17, 560,134.95 and 224,618.50

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Solution

The fourth proportional to 405,894.17, 560,134.95 and 224,618.50 is: 309,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,894.17 : 560,134.95 = 224,618.50 : x
  2. Step 2: Convert to fraction form
    405,894.17/560,134.95 = 224,618.50/x
  3. Step 3: Cross multiply
    405,894.17x = 560,134.95 × 224,618.50
  4. Step 4: Simplify right side
    405,894.17x = 125,816,672,124.42
  5. Step 5: Solve for x
    x = 125,816,672,124.42/405,894.17
  6. Step 6: Final answer
    x = 309,974.08

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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.