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Finding the Fourth Proportional to 473,674.96, 710,559.69 and 136,723.78

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Solution

The fourth proportional to 473,674.96, 710,559.69 and 136,723.78 is: 205,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,674.96 : 710,559.69 = 136,723.78 : x
  2. Step 2: Convert to fraction form
    473,674.96/710,559.69 = 136,723.78/x
  3. Step 3: Cross multiply
    473,674.96x = 710,559.69 × 136,723.78
  4. Step 4: Simplify right side
    473,674.96x = 97,150,406,732.43
  5. Step 5: Solve for x
    x = 97,150,406,732.43/473,674.96
  6. Step 6: Final answer
    x = 205,099.31

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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.