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Finding the Fourth Proportional to 316,221.05, 473,571.51 and 180,874.98

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Solution

The fourth proportional to 316,221.05, 473,571.51 and 180,874.98 is: 270,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,221.05 : 473,571.51 = 180,874.98 : x
  2. Step 2: Convert to fraction form
    316,221.05/473,571.51 = 180,874.98/x
  3. Step 3: Cross multiply
    316,221.05x = 473,571.51 × 180,874.98
  4. Step 4: Simplify right side
    316,221.05x = 85,657,237,399.82
  5. Step 5: Solve for x
    x = 85,657,237,399.82/316,221.05
  6. Step 6: Final answer
    x = 270,877.73

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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.