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Finding the Fourth Proportional to 314,661.66, 471,817.53 and 104,184.78

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Solution

The fourth proportional to 314,661.66, 471,817.53 and 104,184.78 is: 156,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,661.66 : 471,817.53 = 104,184.78 : x
  2. Step 2: Convert to fraction form
    314,661.66/471,817.53 = 104,184.78/x
  3. Step 3: Cross multiply
    314,661.66x = 471,817.53 × 104,184.78
  4. Step 4: Simplify right side
    314,661.66x = 49,156,205,563.19
  5. Step 5: Solve for x
    x = 49,156,205,563.19/314,661.66
  6. Step 6: Final answer
    x = 156,219.24

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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.