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Finding the Fourth Proportional to 493,834.68, 740,746.62 and 119,857.68

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Solution

The fourth proportional to 493,834.68, 740,746.62 and 119,857.68 is: 179,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,834.68 : 740,746.62 = 119,857.68 : x
  2. Step 2: Convert to fraction form
    493,834.68/740,746.62 = 119,857.68/x
  3. Step 3: Cross multiply
    493,834.68x = 740,746.62 × 119,857.68
  4. Step 4: Simplify right side
    493,834.68x = 88,784,171,341.04
  5. Step 5: Solve for x
    x = 88,784,171,341.04/493,834.68
  6. Step 6: Final answer
    x = 179,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.