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Finding the Fourth Proportional to 447,124, 616,718.64 and 294,113.92

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Solution

The fourth proportional to 447,124, 616,718.64 and 294,113.92 is: 405,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,124 : 616,718.64 = 294,113.92 : x
  2. Step 2: Convert to fraction form
    447,124/616,718.64 = 294,113.92/x
  3. Step 3: Cross multiply
    447,124x = 616,718.64 × 294,113.92
  4. Step 4: Simplify right side
    447,124x = 181,385,536,747.47
  5. Step 5: Solve for x
    x = 181,385,536,747.47/447,124
  6. Step 6: Final answer
    x = 405,671.66

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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.