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Finding the Fourth Proportional to 496,146.74, 684,712.38 and 292,333.49

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Solution

The fourth proportional to 496,146.74, 684,712.38 and 292,333.49 is: 403,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,146.74 : 684,712.38 = 292,333.49 : x
  2. Step 2: Convert to fraction form
    496,146.74/684,712.38 = 292,333.49/x
  3. Step 3: Cross multiply
    496,146.74x = 684,712.38 × 292,333.49
  4. Step 4: Simplify right side
    496,146.74x = 200,164,360,765.12
  5. Step 5: Solve for x
    x = 200,164,360,765.12/496,146.74
  6. Step 6: Final answer
    x = 403,437.82

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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.