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Finding the Fourth Proportional to 446,737.68, 616,641.66 and 286,025.58

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Solution

The fourth proportional to 446,737.68, 616,641.66 and 286,025.58 is: 394,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,737.68 : 616,641.66 = 286,025.58 : x
  2. Step 2: Convert to fraction form
    446,737.68/616,641.66 = 286,025.58/x
  3. Step 3: Cross multiply
    446,737.68x = 616,641.66 × 286,025.58
  4. Step 4: Simplify right side
    446,737.68x = 176,375,288,453.66
  5. Step 5: Solve for x
    x = 176,375,288,453.66/446,737.68
  6. Step 6: Final answer
    x = 394,807.28

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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.