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Finding the Fourth Proportional to 477,677.44, 716,404.16 and 211,292.80

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Solution

The fourth proportional to 477,677.44, 716,404.16 and 211,292.80 is: 316,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,677.44 : 716,404.16 = 211,292.80 : x
  2. Step 2: Convert to fraction form
    477,677.44/716,404.16 = 211,292.80/x
  3. Step 3: Cross multiply
    477,677.44x = 716,404.16 × 211,292.80
  4. Step 4: Simplify right side
    477,677.44x = 151,371,040,898.05
  5. Step 5: Solve for x
    x = 151,371,040,898.05/477,677.44
  6. Step 6: Final answer
    x = 316,889.66

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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.