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Finding the Fourth Proportional to 463,333.80, 693,834.30 and 304,703.40

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Solution

The fourth proportional to 463,333.80, 693,834.30 and 304,703.40 is: 456,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,333.80 : 693,834.30 = 304,703.40 : x
  2. Step 2: Convert to fraction form
    463,333.80/693,834.30 = 304,703.40/x
  3. Step 3: Cross multiply
    463,333.80x = 693,834.30 × 304,703.40
  4. Step 4: Simplify right side
    463,333.80x = 211,413,670,246.62
  5. Step 5: Solve for x
    x = 211,413,670,246.62/463,333.80
  6. Step 6: Final answer
    x = 456,288.04

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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.