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Finding the Fourth Proportional to 314,275.43, 433,398.56 and 211,142.63

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Solution

The fourth proportional to 314,275.43, 433,398.56 and 211,142.63 is: 291,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,275.43 : 433,398.56 = 211,142.63 : x
  2. Step 2: Convert to fraction form
    314,275.43/433,398.56 = 211,142.63/x
  3. Step 3: Cross multiply
    314,275.43x = 433,398.56 × 211,142.63
  4. Step 4: Simplify right side
    314,275.43x = 91,508,908,573.91
  5. Step 5: Solve for x
    x = 91,508,908,573.91/314,275.43
  6. Step 6: Final answer
    x = 291,174.24

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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.