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Finding the Fourth Proportional to 295,476.48, 443,059.20 and 202,008.96

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Solution

The fourth proportional to 295,476.48, 443,059.20 and 202,008.96 is: 302,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,476.48 : 443,059.20 = 202,008.96 : x
  2. Step 2: Convert to fraction form
    295,476.48/443,059.20 = 202,008.96/x
  3. Step 3: Cross multiply
    295,476.48x = 443,059.20 × 202,008.96
  4. Step 4: Simplify right side
    295,476.48x = 89,501,928,210.43
  5. Step 5: Solve for x
    x = 89,501,928,210.43/295,476.48
  6. Step 6: Final answer
    x = 302,907.12

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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.