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Finding the Fourth Proportional to 495,192.56, 742,296.68 and 295,213.28

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Solution

The fourth proportional to 495,192.56, 742,296.68 and 295,213.28 is: 442,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,192.56 : 742,296.68 = 295,213.28 : x
  2. Step 2: Convert to fraction form
    495,192.56/742,296.68 = 295,213.28/x
  3. Step 3: Cross multiply
    495,192.56x = 742,296.68 × 295,213.28
  4. Step 4: Simplify right side
    495,192.56x = 219,135,837,635.91
  5. Step 5: Solve for x
    x = 219,135,837,635.91/495,192.56
  6. Step 6: Final answer
    x = 442,526.51

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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.