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Finding the Fourth Proportional to 407,665.96, 611,263.50 and 158,056.36

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Solution

The fourth proportional to 407,665.96, 611,263.50 and 158,056.36 is: 236,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,665.96 : 611,263.50 = 158,056.36 : x
  2. Step 2: Convert to fraction form
    407,665.96/611,263.50 = 158,056.36/x
  3. Step 3: Cross multiply
    407,665.96x = 611,263.50 × 158,056.36
  4. Step 4: Simplify right side
    407,665.96x = 96,614,083,810.86
  5. Step 5: Solve for x
    x = 96,614,083,810.86/407,665.96
  6. Step 6: Final answer
    x = 236,993.26

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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.