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Finding the Fourth Proportional to 472,736.10, 709,148.16 and 188,358.06

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Solution

The fourth proportional to 472,736.10, 709,148.16 and 188,358.06 is: 282,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,736.10 : 709,148.16 = 188,358.06 : x
  2. Step 2: Convert to fraction form
    472,736.10/709,148.16 = 188,358.06/x
  3. Step 3: Cross multiply
    472,736.10x = 709,148.16 × 188,358.06
  4. Step 4: Simplify right side
    472,736.10x = 133,573,771,670.17
  5. Step 5: Solve for x
    x = 133,573,771,670.17/472,736.10
  6. Step 6: Final answer
    x = 282,554.63

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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.