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Finding the Fourth Proportional to 464,428.10, 695,720.55 and 267,205.70

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Solution

The fourth proportional to 464,428.10, 695,720.55 and 267,205.70 is: 400,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,428.10 : 695,720.55 = 267,205.70 : x
  2. Step 2: Convert to fraction form
    464,428.10/695,720.55 = 267,205.70/x
  3. Step 3: Cross multiply
    464,428.10x = 695,720.55 × 267,205.70
  4. Step 4: Simplify right side
    464,428.10x = 185,900,496,567.14
  5. Step 5: Solve for x
    x = 185,900,496,567.14/464,428.10
  6. Step 6: Final answer
    x = 400,278.31

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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.