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Finding the Fourth Proportional to 413,432.90, 620,112.90 and 113,886.80

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Solution

The fourth proportional to 413,432.90, 620,112.90 and 113,886.80 is: 170,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,432.90 : 620,112.90 = 113,886.80 : x
  2. Step 2: Convert to fraction form
    413,432.90/620,112.90 = 113,886.80/x
  3. Step 3: Cross multiply
    413,432.90x = 620,112.90 × 113,886.80
  4. Step 4: Simplify right side
    413,432.90x = 70,622,673,819.72
  5. Step 5: Solve for x
    x = 70,622,673,819.72/413,432.90
  6. Step 6: Final answer
    x = 170,820.16

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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.