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Finding the Fourth Proportional to 495,114.64, 683,257.62 and 268,760.14

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Solution

The fourth proportional to 495,114.64, 683,257.62 and 268,760.14 is: 370,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,114.64 : 683,257.62 = 268,760.14 : x
  2. Step 2: Convert to fraction form
    495,114.64/683,257.62 = 268,760.14/x
  3. Step 3: Cross multiply
    495,114.64x = 683,257.62 × 268,760.14
  4. Step 4: Simplify right side
    495,114.64x = 183,632,413,607.27
  5. Step 5: Solve for x
    x = 183,632,413,607.27/495,114.64
  6. Step 6: Final answer
    x = 370,888.68

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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.