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Finding the Fourth Proportional to 453,952.69, 680,043.21 and 353,643.21

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Solution

The fourth proportional to 453,952.69, 680,043.21 and 353,643.21 is: 529,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,952.69 : 680,043.21 = 353,643.21 : x
  2. Step 2: Convert to fraction form
    453,952.69/680,043.21 = 353,643.21/x
  3. Step 3: Cross multiply
    453,952.69x = 680,043.21 × 353,643.21
  4. Step 4: Simplify right side
    453,952.69x = 240,492,663,723.10
  5. Step 5: Solve for x
    x = 240,492,663,723.10/453,952.69
  6. Step 6: Final answer
    x = 529,774.73

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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.