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Finding the Fourth Proportional to 314,661.79, 471,817.72 and 104,184.91

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Solution

The fourth proportional to 314,661.79, 471,817.72 and 104,184.91 is: 156,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,661.79 : 471,817.72 = 104,184.91 : x
  2. Step 2: Convert to fraction form
    314,661.79/471,817.72 = 104,184.91/x
  3. Step 3: Cross multiply
    314,661.79x = 471,817.72 × 104,184.91
  4. Step 4: Simplify right side
    314,661.79x = 49,156,283,814.59
  5. Step 5: Solve for x
    x = 49,156,283,814.59/314,661.79
  6. Step 6: Final answer
    x = 156,219.43

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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.