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Finding the Fourth Proportional to 407,117.01, 610,680.71 and 107,595

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Solution

The fourth proportional to 407,117.01, 610,680.71 and 107,595 is: 161,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,117.01 : 610,680.71 = 107,595 : x
  2. Step 2: Convert to fraction form
    407,117.01/610,680.71 = 107,595/x
  3. Step 3: Cross multiply
    407,117.01x = 610,680.71 × 107,595
  4. Step 4: Simplify right side
    407,117.01x = 65,706,191,015.57
  5. Step 5: Solve for x
    x = 65,706,191,015.57/407,117.01
  6. Step 6: Final answer
    x = 161,393.87

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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.