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Finding the Fourth Proportional to 495,420.14, 683,679.20 and 269,064.02

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Solution

The fourth proportional to 495,420.14, 683,679.20 and 269,064.02 is: 371,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,420.14 : 683,679.20 = 269,064.02 : x
  2. Step 2: Convert to fraction form
    495,420.14/683,679.20 = 269,064.02/x
  3. Step 3: Cross multiply
    495,420.14x = 683,679.20 × 269,064.02
  4. Step 4: Simplify right side
    495,420.14x = 183,953,473,942.38
  5. Step 5: Solve for x
    x = 183,953,473,942.38/495,420.14
  6. Step 6: Final answer
    x = 371,308.03

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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.