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Finding the Fourth Proportional to 316,523.19, 474,860.32 and 103,291.50

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Solution

The fourth proportional to 316,523.19, 474,860.32 and 103,291.50 is: 154,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,523.19 : 474,860.32 = 103,291.50 : x
  2. Step 2: Convert to fraction form
    316,523.19/474,860.32 = 103,291.50/x
  3. Step 3: Cross multiply
    316,523.19x = 474,860.32 × 103,291.50
  4. Step 4: Simplify right side
    316,523.19x = 49,049,034,872.39
  5. Step 5: Solve for x
    x = 49,049,034,872.39/316,523.19
  6. Step 6: Final answer
    x = 154,961.90

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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.