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Finding the Fourth Proportional to 496,633.95, 684,878.42 and 333,658.71

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Solution

The fourth proportional to 496,633.95, 684,878.42 and 333,658.71 is: 460,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,633.95 : 684,878.42 = 333,658.71 : x
  2. Step 2: Convert to fraction form
    496,633.95/684,878.42 = 333,658.71/x
  3. Step 3: Cross multiply
    496,633.95x = 684,878.42 × 333,658.71
  4. Step 4: Simplify right side
    496,633.95x = 228,515,648,455.75
  5. Step 5: Solve for x
    x = 228,515,648,455.75/496,633.95
  6. Step 6: Final answer
    x = 460,128.93

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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.