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Finding the Fourth Proportional to 496,032.12, 683,309.52 and 359,665.38

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Solution

The fourth proportional to 496,032.12, 683,309.52 and 359,665.38 is: 495,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,032.12 : 683,309.52 = 359,665.38 : x
  2. Step 2: Convert to fraction form
    496,032.12/683,309.52 = 359,665.38/x
  3. Step 3: Cross multiply
    496,032.12x = 683,309.52 × 359,665.38
  4. Step 4: Simplify right side
    496,032.12x = 245,762,778,168.42
  5. Step 5: Solve for x
    x = 245,762,778,168.42/496,032.12
  6. Step 6: Final answer
    x = 495,457.39

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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.