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Finding the Fourth Proportional to 443,647.52, 665,733.36 and 233,301.68

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Solution

The fourth proportional to 443,647.52, 665,733.36 and 233,301.68 is: 350,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,647.52 : 665,733.36 = 233,301.68 : x
  2. Step 2: Convert to fraction form
    443,647.52/665,733.36 = 233,301.68/x
  3. Step 3: Cross multiply
    443,647.52x = 665,733.36 × 233,301.68
  4. Step 4: Simplify right side
    443,647.52x = 155,316,711,320.05
  5. Step 5: Solve for x
    x = 155,316,711,320.05/443,647.52
  6. Step 6: Final answer
    x = 350,090.34

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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.