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Finding the Fourth Proportional to 495,162.90, 683,665.11 and 334,243.44

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Solution

The fourth proportional to 495,162.90, 683,665.11 and 334,243.44 is: 461,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,162.90 : 683,665.11 = 334,243.44 : x
  2. Step 2: Convert to fraction form
    495,162.90/683,665.11 = 334,243.44/x
  3. Step 3: Cross multiply
    495,162.90x = 683,665.11 × 334,243.44
  4. Step 4: Simplify right side
    495,162.90x = 228,510,578,174.38
  5. Step 5: Solve for x
    x = 228,510,578,174.38/495,162.90
  6. Step 6: Final answer
    x = 461,485.66

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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.