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Finding the Fourth Proportional to 543,312.32, 814,783.91 and 188,243.46

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Solution

The fourth proportional to 543,312.32, 814,783.91 and 188,243.46 is: 282,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,312.32 : 814,783.91 = 188,243.46 : x
  2. Step 2: Convert to fraction form
    543,312.32/814,783.91 = 188,243.46/x
  3. Step 3: Cross multiply
    543,312.32x = 814,783.91 × 188,243.46
  4. Step 4: Simplify right side
    543,312.32x = 153,377,741,429.51
  5. Step 5: Solve for x
    x = 153,377,741,429.51/543,312.32
  6. Step 6: Final answer
    x = 282,301.24

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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.