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Finding the Fourth Proportional to 448,426.32, 618,447.61 and 378,916.16

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Solution

The fourth proportional to 448,426.32, 618,447.61 and 378,916.16 is: 522,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,426.32 : 618,447.61 = 378,916.16 : x
  2. Step 2: Convert to fraction form
    448,426.32/618,447.61 = 378,916.16/x
  3. Step 3: Cross multiply
    448,426.32x = 618,447.61 × 378,916.16
  4. Step 4: Simplify right side
    448,426.32x = 234,339,793,542.38
  5. Step 5: Solve for x
    x = 234,339,793,542.38/448,426.32
  6. Step 6: Final answer
    x = 522,582.60

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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.