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Finding the Fourth Proportional to 457,525.08, 686,379.34 and 158,016.64

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Solution

The fourth proportional to 457,525.08, 686,379.34 and 158,016.64 is: 237,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,525.08 : 686,379.34 = 158,016.64 : x
  2. Step 2: Convert to fraction form
    457,525.08/686,379.34 = 158,016.64/x
  3. Step 3: Cross multiply
    457,525.08x = 686,379.34 × 158,016.64
  4. Step 4: Simplify right side
    457,525.08x = 108,459,357,072.22
  5. Step 5: Solve for x
    x = 108,459,357,072.22/457,525.08
  6. Step 6: Final answer
    x = 237,056.64

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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.