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Finding the Fourth Proportional to 495,202.64, 683,382.47 and 291,262.14

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Solution

The fourth proportional to 495,202.64, 683,382.47 and 291,262.14 is: 401,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,202.64 : 683,382.47 = 291,262.14 : x
  2. Step 2: Convert to fraction form
    495,202.64/683,382.47 = 291,262.14/x
  3. Step 3: Cross multiply
    495,202.64x = 683,382.47 × 291,262.14
  4. Step 4: Simplify right side
    495,202.64x = 199,043,439,194.38
  5. Step 5: Solve for x
    x = 199,043,439,194.38/495,202.64
  6. Step 6: Final answer
    x = 401,943.42

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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.