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Finding the Fourth Proportional to 469,971.72, 705,061.26 and 154,415.16

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Solution

The fourth proportional to 469,971.72, 705,061.26 and 154,415.16 is: 231,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,971.72 : 705,061.26 = 154,415.16 : x
  2. Step 2: Convert to fraction form
    469,971.72/705,061.26 = 154,415.16/x
  3. Step 3: Cross multiply
    469,971.72x = 705,061.26 × 154,415.16
  4. Step 4: Simplify right side
    469,971.72x = 108,872,147,272.70
  5. Step 5: Solve for x
    x = 108,872,147,272.70/469,971.72
  6. Step 6: Final answer
    x = 231,656.81

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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.