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Finding the Fourth Proportional to 543,949.36, 750,435.14 and 314,464.42

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Solution

The fourth proportional to 543,949.36, 750,435.14 and 314,464.42 is: 433,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,949.36 : 750,435.14 = 314,464.42 : x
  2. Step 2: Convert to fraction form
    543,949.36/750,435.14 = 314,464.42/x
  3. Step 3: Cross multiply
    543,949.36x = 750,435.14 × 314,464.42
  4. Step 4: Simplify right side
    543,949.36x = 235,985,151,047.72
  5. Step 5: Solve for x
    x = 235,985,151,047.72/543,949.36
  6. Step 6: Final answer
    x = 433,836.62

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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.