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Finding the Fourth Proportional to 402,093.02, 602,713.47 and 188,680.70

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Solution

The fourth proportional to 402,093.02, 602,713.47 and 188,680.70 is: 282,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,093.02 : 602,713.47 = 188,680.70 : x
  2. Step 2: Convert to fraction form
    402,093.02/602,713.47 = 188,680.70/x
  3. Step 3: Cross multiply
    402,093.02x = 602,713.47 × 188,680.70
  4. Step 4: Simplify right side
    402,093.02x = 113,720,399,419.03
  5. Step 5: Solve for x
    x = 113,720,399,419.03/402,093.02
  6. Step 6: Final answer
    x = 282,821.12

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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.