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Finding the Fourth Proportional to 407,138.10, 610,415.55 and 170,358.90

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Solution

The fourth proportional to 407,138.10, 610,415.55 and 170,358.90 is: 255,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.10 : 610,415.55 = 170,358.90 : x
  2. Step 2: Convert to fraction form
    407,138.10/610,415.55 = 170,358.90/x
  3. Step 3: Cross multiply
    407,138.10x = 610,415.55 × 170,358.90
  4. Step 4: Simplify right side
    407,138.10x = 103,989,721,640.90
  5. Step 5: Solve for x
    x = 103,989,721,640.90/407,138.10
  6. Step 6: Final answer
    x = 255,416.34

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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.