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Finding the Fourth Proportional to 496,137.65, 684,720.80 and 292,252.74

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Solution

The fourth proportional to 496,137.65, 684,720.80 and 292,252.74 is: 403,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,137.65 : 684,720.80 = 292,252.74 : x
  2. Step 2: Convert to fraction form
    496,137.65/684,720.80 = 292,252.74/x
  3. Step 3: Cross multiply
    496,137.65x = 684,720.80 × 292,252.74
  4. Step 4: Simplify right side
    496,137.65x = 200,111,528,473.73
  5. Step 5: Solve for x
    x = 200,111,528,473.73/496,137.65
  6. Step 6: Final answer
    x = 403,338.73

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1.5x scale

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.