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Finding the Fourth Proportional to 407,047.69, 610,600.76 and 107,525.35

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Solution

The fourth proportional to 407,047.69, 610,600.76 and 107,525.35 is: 161,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,047.69 : 610,600.76 = 107,525.35 : x
  2. Step 2: Convert to fraction form
    407,047.69/610,600.76 = 107,525.35/x
  3. Step 3: Cross multiply
    407,047.69x = 610,600.76 × 107,525.35
  4. Step 4: Simplify right side
    407,047.69x = 65,655,060,429.27
  5. Step 5: Solve for x
    x = 65,655,060,429.27/407,047.69
  6. Step 6: Final answer
    x = 161,295.75

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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.