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Finding the Fourth Proportional to 314,193.80, 433,083.33 and 212,186.66

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Solution

The fourth proportional to 314,193.80, 433,083.33 and 212,186.66 is: 292,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,193.80 : 433,083.33 = 212,186.66 : x
  2. Step 2: Convert to fraction form
    314,193.80/433,083.33 = 212,186.66/x
  3. Step 3: Cross multiply
    314,193.80x = 433,083.33 × 212,186.66
  4. Step 4: Simplify right side
    314,193.80x = 91,894,503,128.96
  5. Step 5: Solve for x
    x = 91,894,503,128.96/314,193.80
  6. Step 6: Final answer
    x = 292,477.13

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Why These Related Problems?

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