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Finding the Fourth Proportional to 472,844.60, 709,266.90 and 192,217.40

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Solution

The fourth proportional to 472,844.60, 709,266.90 and 192,217.40 is: 288,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,844.60 : 709,266.90 = 192,217.40 : x
  2. Step 2: Convert to fraction form
    472,844.60/709,266.90 = 192,217.40/x
  3. Step 3: Cross multiply
    472,844.60x = 709,266.90 × 192,217.40
  4. Step 4: Simplify right side
    472,844.60x = 136,333,439,424.06
  5. Step 5: Solve for x
    x = 136,333,439,424.06/472,844.60
  6. Step 6: Final answer
    x = 288,326.10

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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.