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Finding the Fourth Proportional to 314,253.64, 433,669.20 and 171,013.64

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Solution

The fourth proportional to 314,253.64, 433,669.20 and 171,013.64 is: 235,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,253.64 : 433,669.20 = 171,013.64 : x
  2. Step 2: Convert to fraction form
    314,253.64/433,669.20 = 171,013.64/x
  3. Step 3: Cross multiply
    314,253.64x = 433,669.20 × 171,013.64
  4. Step 4: Simplify right side
    314,253.64x = 74,163,348,447.89
  5. Step 5: Solve for x
    x = 74,163,348,447.89/314,253.64
  6. Step 6: Final answer
    x = 235,998.38

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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.