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Finding the Fourth Proportional to 314,223.46, 433,552.78 and 185,167.22

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Solution

The fourth proportional to 314,223.46, 433,552.78 and 185,167.22 is: 255,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,223.46 : 433,552.78 = 185,167.22 : x
  2. Step 2: Convert to fraction form
    314,223.46/433,552.78 = 185,167.22/x
  3. Step 3: Cross multiply
    314,223.46x = 433,552.78 × 185,167.22
  4. Step 4: Simplify right side
    314,223.46x = 80,279,762,995.87
  5. Step 5: Solve for x
    x = 80,279,762,995.87/314,223.46
  6. Step 6: Final answer
    x = 255,486.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.