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Finding the Fourth Proportional to 496,328.90, 684,878.22 and 292,366.54

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Solution

The fourth proportional to 496,328.90, 684,878.22 and 292,366.54 is: 403,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,328.90 : 684,878.22 = 292,366.54 : x
  2. Step 2: Convert to fraction form
    496,328.90/684,878.22 = 292,366.54/x
  3. Step 3: Cross multiply
    496,328.90x = 684,878.22 × 292,366.54
  4. Step 4: Simplify right side
    496,328.90x = 200,235,475,502.76
  5. Step 5: Solve for x
    x = 200,235,475,502.76/496,328.90
  6. Step 6: Final answer
    x = 403,433.04

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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.