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Finding the Fourth Proportional to 410,946.16, 616,543.80 and 291,234.56

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Solution

The fourth proportional to 410,946.16, 616,543.80 and 291,234.56 is: 436,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,946.16 : 616,543.80 = 291,234.56 : x
  2. Step 2: Convert to fraction form
    410,946.16/616,543.80 = 291,234.56/x
  3. Step 3: Cross multiply
    410,946.16x = 616,543.80 × 291,234.56
  4. Step 4: Simplify right side
    410,946.16x = 179,558,862,313.73
  5. Step 5: Solve for x
    x = 179,558,862,313.73/410,946.16
  6. Step 6: Final answer
    x = 436,940.11

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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.