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Finding the Fourth Proportional to 472,567.50, 709,179.57 and 192,085.02

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Solution

The fourth proportional to 472,567.50, 709,179.57 and 192,085.02 is: 288,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,567.50 : 709,179.57 = 192,085.02 : x
  2. Step 2: Convert to fraction form
    472,567.50/709,179.57 = 192,085.02/x
  3. Step 3: Cross multiply
    472,567.50x = 709,179.57 × 192,085.02
  4. Step 4: Simplify right side
    472,567.50x = 136,222,771,887.04
  5. Step 5: Solve for x
    x = 136,222,771,887.04/472,567.50
  6. Step 6: Final answer
    x = 288,260.98

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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.