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Finding the Fourth Proportional to 541,016.10, 746,441.01 and 311,567.31

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Solution

The fourth proportional to 541,016.10, 746,441.01 and 311,567.31 is: 429,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,016.10 : 746,441.01 = 311,567.31 : x
  2. Step 2: Convert to fraction form
    541,016.10/746,441.01 = 311,567.31/x
  3. Step 3: Cross multiply
    541,016.10x = 746,441.01 × 311,567.31
  4. Step 4: Simplify right side
    541,016.10x = 232,566,617,559.38
  5. Step 5: Solve for x
    x = 232,566,617,559.38/541,016.10
  6. Step 6: Final answer
    x = 429,870.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.