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Finding the Fourth Proportional to 363,149.10, 501,206.94 and 210,191.40

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Solution

The fourth proportional to 363,149.10, 501,206.94 and 210,191.40 is: 290,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,149.10 : 501,206.94 = 210,191.40 : x
  2. Step 2: Convert to fraction form
    363,149.10/501,206.94 = 210,191.40/x
  3. Step 3: Cross multiply
    363,149.10x = 501,206.94 × 210,191.40
  4. Step 4: Simplify right side
    363,149.10x = 105,349,388,408.32
  5. Step 5: Solve for x
    x = 105,349,388,408.32/363,149.10
  6. Step 6: Final answer
    x = 290,099.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.