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Finding the Fourth Proportional to 403,114.20, 604,865.70 and 284,530.20

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Solution

The fourth proportional to 403,114.20, 604,865.70 and 284,530.20 is: 426,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,114.20 : 604,865.70 = 284,530.20 : x
  2. Step 2: Convert to fraction form
    403,114.20/604,865.70 = 284,530.20/x
  3. Step 3: Cross multiply
    403,114.20x = 604,865.70 × 284,530.20
  4. Step 4: Simplify right side
    403,114.20x = 172,102,558,594.14
  5. Step 5: Solve for x
    x = 172,102,558,594.14/403,114.20
  6. Step 6: Final answer
    x = 426,932.51

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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.