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Finding the Fourth Proportional to 543,240.72, 814,587.71 and 188,159.40

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Solution

The fourth proportional to 543,240.72, 814,587.71 and 188,159.40 is: 282,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,240.72 : 814,587.71 = 188,159.40 : x
  2. Step 2: Convert to fraction form
    543,240.72/814,587.71 = 188,159.40/x
  3. Step 3: Cross multiply
    543,240.72x = 814,587.71 × 188,159.40
  4. Step 4: Simplify right side
    543,240.72x = 153,272,333,820.18
  5. Step 5: Solve for x
    x = 153,272,333,820.18/543,240.72
  6. Step 6: Final answer
    x = 282,144.41

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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.