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Finding the Fourth Proportional to 567,645.42, 851,260.34 and 188,497.38

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Solution

The fourth proportional to 567,645.42, 851,260.34 and 188,497.38 is: 282,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,645.42 : 851,260.34 = 188,497.38 : x
  2. Step 2: Convert to fraction form
    567,645.42/851,260.34 = 188,497.38/x
  3. Step 3: Cross multiply
    567,645.42x = 851,260.34 × 188,497.38
  4. Step 4: Simplify right side
    567,645.42x = 160,460,343,787.91
  5. Step 5: Solve for x
    x = 160,460,343,787.91/567,645.42
  6. Step 6: Final answer
    x = 282,677.07

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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.