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Finding the Fourth Proportional to 407,849.40, 611,774.10 and 381,605.40

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Solution

The fourth proportional to 407,849.40, 611,774.10 and 381,605.40 is: 572,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,849.40 : 611,774.10 = 381,605.40 : x
  2. Step 2: Convert to fraction form
    407,849.40/611,774.10 = 381,605.40/x
  3. Step 3: Cross multiply
    407,849.40x = 611,774.10 × 381,605.40
  4. Step 4: Simplify right side
    407,849.40x = 233,456,300,140.14
  5. Step 5: Solve for x
    x = 233,456,300,140.14/407,849.40
  6. Step 6: Final answer
    x = 572,408.10

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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.