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Finding the Fourth Proportional to 495,193.56, 742,298.18 and 295,214.28

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Solution

The fourth proportional to 495,193.56, 742,298.18 and 295,214.28 is: 442,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,193.56 : 742,298.18 = 295,214.28 : x
  2. Step 2: Convert to fraction form
    495,193.56/742,298.18 = 295,214.28/x
  3. Step 3: Cross multiply
    495,193.56x = 742,298.18 × 295,214.28
  4. Step 4: Simplify right side
    495,193.56x = 219,137,022,754.01
  5. Step 5: Solve for x
    x = 219,137,022,754.01/495,193.56
  6. Step 6: Final answer
    x = 442,528.01

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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.