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Finding the Fourth Proportional to 295,807.29, 443,710.94 and 270,146.49

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Solution

The fourth proportional to 295,807.29, 443,710.94 and 270,146.49 is: 405,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,807.29 : 443,710.94 = 270,146.49 : x
  2. Step 2: Convert to fraction form
    295,807.29/443,710.94 = 270,146.49/x
  3. Step 3: Cross multiply
    295,807.29x = 443,710.94 × 270,146.49
  4. Step 4: Simplify right side
    295,807.29x = 119,866,953,690.97
  5. Step 5: Solve for x
    x = 119,866,953,690.97/295,807.29
  6. Step 6: Final answer
    x = 405,219.74

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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.