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Finding the Fourth Proportional to 496,243.84, 684,803.52 and 289,551.76

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Solution

The fourth proportional to 496,243.84, 684,803.52 and 289,551.76 is: 399,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,243.84 : 684,803.52 = 289,551.76 : x
  2. Step 2: Convert to fraction form
    496,243.84/684,803.52 = 289,551.76/x
  3. Step 3: Cross multiply
    496,243.84x = 684,803.52 × 289,551.76
  4. Step 4: Simplify right side
    496,243.84x = 198,286,064,470.20
  5. Step 5: Solve for x
    x = 198,286,064,470.20/496,243.84
  6. Step 6: Final answer
    x = 399,573.86

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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.