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Finding the Fourth Proportional to 706,465.09, 974,947.49 and 404,717.41

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Solution

The fourth proportional to 706,465.09, 974,947.49 and 404,717.41 is: 558,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,465.09 : 974,947.49 = 404,717.41 : x
  2. Step 2: Convert to fraction form
    706,465.09/974,947.49 = 404,717.41/x
  3. Step 3: Cross multiply
    706,465.09x = 974,947.49 × 404,717.41
  4. Step 4: Simplify right side
    706,465.09x = 394,578,223,038.80
  5. Step 5: Solve for x
    x = 394,578,223,038.80/706,465.09
  6. Step 6: Final answer
    x = 558,524.73

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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.