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Finding the Fourth Proportional to 314,402.46, 433,801.62 and 178,405.62

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Solution

The fourth proportional to 314,402.46, 433,801.62 and 178,405.62 is: 246,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,402.46 : 433,801.62 = 178,405.62 : x
  2. Step 2: Convert to fraction form
    314,402.46/433,801.62 = 178,405.62/x
  3. Step 3: Cross multiply
    314,402.46x = 433,801.62 × 178,405.62
  4. Step 4: Simplify right side
    314,402.46x = 77,392,646,973.10
  5. Step 5: Solve for x
    x = 77,392,646,973.10/314,402.46
  6. Step 6: Final answer
    x = 246,157.89

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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.