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Finding the Fourth Proportional to 507,866.08, 762,149.67 and 175,442.08

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Solution

The fourth proportional to 507,866.08, 762,149.67 and 175,442.08 is: 263,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,866.08 : 762,149.67 = 175,442.08 : x
  2. Step 2: Convert to fraction form
    507,866.08/762,149.67 = 175,442.08/x
  3. Step 3: Cross multiply
    507,866.08x = 762,149.67 × 175,442.08
  4. Step 4: Simplify right side
    507,866.08x = 133,713,123,376.11
  5. Step 5: Solve for x
    x = 133,713,123,376.11/507,866.08
  6. Step 6: Final answer
    x = 263,284.22

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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.