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Finding the Fourth Proportional to 543,312.84, 814,784.64 and 188,243.96

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Solution

The fourth proportional to 543,312.84, 814,784.64 and 188,243.96 is: 282,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,312.84 : 814,784.64 = 188,243.96 : x
  2. Step 2: Convert to fraction form
    543,312.84/814,784.64 = 188,243.96/x
  3. Step 3: Cross multiply
    543,312.84x = 814,784.64 × 188,243.96
  4. Step 4: Simplify right side
    543,312.84x = 153,378,287,180.77
  5. Step 5: Solve for x
    x = 153,378,287,180.77/543,312.84
  6. Step 6: Final answer
    x = 282,301.97

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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.