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Finding the Fourth Proportional to 472,734.10, 709,145.16 and 188,356.06

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Solution

The fourth proportional to 472,734.10, 709,145.16 and 188,356.06 is: 282,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,734.10 : 709,145.16 = 188,356.06 : x
  2. Step 2: Convert to fraction form
    472,734.10/709,145.16 = 188,356.06/x
  3. Step 3: Cross multiply
    472,734.10x = 709,145.16 × 188,356.06
  4. Step 4: Simplify right side
    472,734.10x = 133,571,788,305.67
  5. Step 5: Solve for x
    x = 133,571,788,305.67/472,734.10
  6. Step 6: Final answer
    x = 282,551.63

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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.