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Finding the Fourth Proportional to 376,893, 565,033.32 and 208,406.52

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Solution

The fourth proportional to 376,893, 565,033.32 and 208,406.52 is: 312,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,893 : 565,033.32 = 208,406.52 : x
  2. Step 2: Convert to fraction form
    376,893/565,033.32 = 208,406.52/x
  3. Step 3: Cross multiply
    376,893x = 565,033.32 × 208,406.52
  4. Step 4: Simplify right side
    376,893x = 117,756,627,905.25
  5. Step 5: Solve for x
    x = 117,756,627,905.25/376,893
  6. Step 6: Final answer
    x = 312,440.47

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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.