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Finding the Fourth Proportional to 336,165.80, 471,813.10 and 336,165.80

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Solution

The fourth proportional to 336,165.80, 471,813.10 and 336,165.80 is: 471,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,165.80 : 471,813.10 = 336,165.80 : x
  2. Step 2: Convert to fraction form
    336,165.80/471,813.10 = 336,165.80/x
  3. Step 3: Cross multiply
    336,165.80x = 471,813.10 × 336,165.80
  4. Step 4: Simplify right side
    336,165.80x = 158,607,428,211.98
  5. Step 5: Solve for x
    x = 158,607,428,211.98/336,165.80
  6. Step 6: Final answer
    x = 471,813.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.