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Finding the Fourth Proportional to 300,695.82, 414,802.89 and 185,937.78

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Solution

The fourth proportional to 300,695.82, 414,802.89 and 185,937.78 is: 256,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,695.82 : 414,802.89 = 185,937.78 : x
  2. Step 2: Convert to fraction form
    300,695.82/414,802.89 = 185,937.78/x
  3. Step 3: Cross multiply
    300,695.82x = 414,802.89 × 185,937.78
  4. Step 4: Simplify right side
    300,695.82x = 77,127,528,504.18
  5. Step 5: Solve for x
    x = 77,127,528,504.18/300,695.82
  6. Step 6: Final answer
    x = 256,496.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.