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Finding the Fourth Proportional to 493,399.70, 680,897.16 and 289,454.09

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Solution

The fourth proportional to 493,399.70, 680,897.16 and 289,454.09 is: 399,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,399.70 : 680,897.16 = 289,454.09 : x
  2. Step 2: Convert to fraction form
    493,399.70/680,897.16 = 289,454.09/x
  3. Step 3: Cross multiply
    493,399.70x = 680,897.16 × 289,454.09
  4. Step 4: Simplify right side
    493,399.70x = 197,088,466,384.11
  5. Step 5: Solve for x
    x = 197,088,466,384.11/493,399.70
  6. Step 6: Final answer
    x = 399,449.91

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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.