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Finding the Fourth Proportional to 461,167.68, 687,166.92 and 410,861.22

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Solution

The fourth proportional to 461,167.68, 687,166.92 and 410,861.22 is: 612,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,167.68 : 687,166.92 = 410,861.22 : x
  2. Step 2: Convert to fraction form
    461,167.68/687,166.92 = 410,861.22/x
  3. Step 3: Cross multiply
    461,167.68x = 687,166.92 × 410,861.22
  4. Step 4: Simplify right side
    461,167.68x = 282,330,239,094.84
  5. Step 5: Solve for x
    x = 282,330,239,094.84/461,167.68
  6. Step 6: Final answer
    x = 612,207.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.