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Finding the Fourth Proportional to 566,862.90, 850,414.29 and 187,762.16

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Solution

The fourth proportional to 566,862.90, 850,414.29 and 187,762.16 is: 281,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,862.90 : 850,414.29 = 187,762.16 : x
  2. Step 2: Convert to fraction form
    566,862.90/850,414.29 = 187,762.16/x
  3. Step 3: Cross multiply
    566,862.90x = 850,414.29 × 187,762.16
  4. Step 4: Simplify right side
    566,862.90x = 159,675,625,407.19
  5. Step 5: Solve for x
    x = 159,675,625,407.19/566,862.90
  6. Step 6: Final answer
    x = 281,682.97

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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.