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Finding the Fourth Proportional to 472,578.50, 709,196.10 and 192,096.02

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Solution

The fourth proportional to 472,578.50, 709,196.10 and 192,096.02 is: 288,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,578.50 : 709,196.10 = 192,096.02 : x
  2. Step 2: Convert to fraction form
    472,578.50/709,196.10 = 192,096.02/x
  3. Step 3: Cross multiply
    472,578.50x = 709,196.10 × 192,096.02
  4. Step 4: Simplify right side
    472,578.50x = 136,233,748,209.52
  5. Step 5: Solve for x
    x = 136,233,748,209.52/472,578.50
  6. Step 6: Final answer
    x = 288,277.50

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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.