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Finding the Fourth Proportional to 507,866.58, 762,150.42 and 175,442.58

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Solution

The fourth proportional to 507,866.58, 762,150.42 and 175,442.58 is: 263,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,866.58 : 762,150.42 = 175,442.58 : x
  2. Step 2: Convert to fraction form
    507,866.58/762,150.42 = 175,442.58/x
  3. Step 3: Cross multiply
    507,866.58x = 762,150.42 × 175,442.58
  4. Step 4: Simplify right side
    507,866.58x = 133,713,636,032.88
  5. Step 5: Solve for x
    x = 133,713,636,032.88/507,866.58
  6. Step 6: Final answer
    x = 263,284.97

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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.