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Finding the Fourth Proportional to 314,065.38, 433,370.96 and 212,312.18

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Solution

The fourth proportional to 314,065.38, 433,370.96 and 212,312.18 is: 292,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,065.38 : 433,370.96 = 212,312.18 : x
  2. Step 2: Convert to fraction form
    314,065.38/433,370.96 = 212,312.18/x
  3. Step 3: Cross multiply
    314,065.38x = 433,370.96 × 212,312.18
  4. Step 4: Simplify right side
    314,065.38x = 92,009,933,266.29
  5. Step 5: Solve for x
    x = 92,009,933,266.29/314,065.38
  6. Step 6: Final answer
    x = 292,964.27

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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.