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Finding the Fourth Proportional to 314,184.18, 471,349.18 and 103,809.36

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Solution

The fourth proportional to 314,184.18, 471,349.18 and 103,809.36 is: 155,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,184.18 : 471,349.18 = 103,809.36 : x
  2. Step 2: Convert to fraction form
    314,184.18/471,349.18 = 103,809.36/x
  3. Step 3: Cross multiply
    314,184.18x = 471,349.18 × 103,809.36
  4. Step 4: Simplify right side
    314,184.18x = 48,930,458,025.72
  5. Step 5: Solve for x
    x = 48,930,458,025.72/314,184.18
  6. Step 6: Final answer
    x = 155,738.13

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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.