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Finding the Fourth Proportional to 316,266.72, 474,433.20 and 103,051.20

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Solution

The fourth proportional to 316,266.72, 474,433.20 and 103,051.20 is: 154,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,266.72 : 474,433.20 = 103,051.20 : x
  2. Step 2: Convert to fraction form
    316,266.72/474,433.20 = 103,051.20/x
  3. Step 3: Cross multiply
    316,266.72x = 474,433.20 × 103,051.20
  4. Step 4: Simplify right side
    316,266.72x = 48,890,910,579.84
  5. Step 5: Solve for x
    x = 48,890,910,579.84/316,266.72
  6. Step 6: Final answer
    x = 154,587.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.