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Finding the Fourth Proportional to 295,021.40, 442,860.15 and 182,828.30

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Solution

The fourth proportional to 295,021.40, 442,860.15 and 182,828.30 is: 274,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,021.40 : 442,860.15 = 182,828.30 : x
  2. Step 2: Convert to fraction form
    295,021.40/442,860.15 = 182,828.30/x
  3. Step 3: Cross multiply
    295,021.40x = 442,860.15 × 182,828.30
  4. Step 4: Simplify right side
    295,021.40x = 80,967,368,362.25
  5. Step 5: Solve for x
    x = 80,967,368,362.25/295,021.40
  6. Step 6: Final answer
    x = 274,445.75

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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.