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Finding the Fourth Proportional to 314,043.27, 433,281.92 and 178,066.55

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Solution

The fourth proportional to 314,043.27, 433,281.92 and 178,066.55 is: 245,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,043.27 : 433,281.92 = 178,066.55 : x
  2. Step 2: Convert to fraction form
    314,043.27/433,281.92 = 178,066.55/x
  3. Step 3: Cross multiply
    314,043.27x = 433,281.92 × 178,066.55
  4. Step 4: Simplify right side
    314,043.27x = 77,153,013,615.03
  5. Step 5: Solve for x
    x = 77,153,013,615.03/314,043.27
  6. Step 6: Final answer
    x = 245,676.38

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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.