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Finding the Fourth Proportional to 516,199.65, 712,230.89 and 301,217.01

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Solution

The fourth proportional to 516,199.65, 712,230.89 and 301,217.01 is: 415,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,199.65 : 712,230.89 = 301,217.01 : x
  2. Step 2: Convert to fraction form
    516,199.65/712,230.89 = 301,217.01/x
  3. Step 3: Cross multiply
    516,199.65x = 712,230.89 × 301,217.01
  4. Step 4: Simplify right side
    516,199.65x = 214,536,057,609.35
  5. Step 5: Solve for x
    x = 214,536,057,609.35/516,199.65
  6. Step 6: Final answer
    x = 415,606.75

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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.