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Finding the Fourth Proportional to 466,834.80, 700,252.20 and 407,785.80

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Solution

The fourth proportional to 466,834.80, 700,252.20 and 407,785.80 is: 611,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,834.80 : 700,252.20 = 407,785.80 : x
  2. Step 2: Convert to fraction form
    466,834.80/700,252.20 = 407,785.80/x
  3. Step 3: Cross multiply
    466,834.80x = 700,252.20 × 407,785.80
  4. Step 4: Simplify right side
    466,834.80x = 285,552,903,578.76
  5. Step 5: Solve for x
    x = 285,552,903,578.76/466,834.80
  6. Step 6: Final answer
    x = 611,678.70

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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.