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Finding the Fourth Proportional to 314,278.38, 433,695.84 and 171,035.35

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Solution

The fourth proportional to 314,278.38, 433,695.84 and 171,035.35 is: 236,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278.38 : 433,695.84 = 171,035.35 : x
  2. Step 2: Convert to fraction form
    314,278.38/433,695.84 = 171,035.35/x
  3. Step 3: Cross multiply
    314,278.38x = 433,695.84 × 171,035.35
  4. Step 4: Simplify right side
    314,278.38x = 74,177,319,787.94
  5. Step 5: Solve for x
    x = 74,177,319,787.94/314,278.38
  6. Step 6: Final answer
    x = 236,024.25

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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.