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Finding the Fourth Proportional to 716,096.22, 988,238.80 and 410,231.72

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Solution

The fourth proportional to 716,096.22, 988,238.80 and 410,231.72 is: 566,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,096.22 : 988,238.80 = 410,231.72 : x
  2. Step 2: Convert to fraction form
    716,096.22/988,238.80 = 410,231.72/x
  3. Step 3: Cross multiply
    716,096.22x = 988,238.80 × 410,231.72
  4. Step 4: Simplify right side
    716,096.22x = 405,406,902,694.74
  5. Step 5: Solve for x
    x = 405,406,902,694.74/716,096.22
  6. Step 6: Final answer
    x = 566,134.68

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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.