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Finding the Fourth Proportional to 270,790.47, 406,102.54 and 187,088.51

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Solution

The fourth proportional to 270,790.47, 406,102.54 and 187,088.51 is: 280,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,790.47 : 406,102.54 = 187,088.51 : x
  2. Step 2: Convert to fraction form
    270,790.47/406,102.54 = 187,088.51/x
  3. Step 3: Cross multiply
    270,790.47x = 406,102.54 × 187,088.51
  4. Step 4: Simplify right side
    270,790.47x = 75,977,119,115.82
  5. Step 5: Solve for x
    x = 75,977,119,115.82/270,790.47
  6. Step 6: Final answer
    x = 280,575.31

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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.