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Finding the Fourth Proportional to 495,114.85, 683,238.81 and 280,299.48

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Solution

The fourth proportional to 495,114.85, 683,238.81 and 280,299.48 is: 386,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,114.85 : 683,238.81 = 280,299.48 : x
  2. Step 2: Convert to fraction form
    495,114.85/683,238.81 = 280,299.48/x
  3. Step 3: Cross multiply
    495,114.85x = 683,238.81 × 280,299.48
  4. Step 4: Simplify right side
    495,114.85x = 191,511,483,158.82
  5. Step 5: Solve for x
    x = 191,511,483,158.82/495,114.85
  6. Step 6: Final answer
    x = 386,802.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.