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Finding the Fourth Proportional to 599,484.72, 827,841.40 and 384,998.48

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Solution

The fourth proportional to 599,484.72, 827,841.40 and 384,998.48 is: 531,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,484.72 : 827,841.40 = 384,998.48 : x
  2. Step 2: Convert to fraction form
    599,484.72/827,841.40 = 384,998.48/x
  3. Step 3: Cross multiply
    599,484.72x = 827,841.40 × 384,998.48
  4. Step 4: Simplify right side
    599,484.72x = 318,717,680,681.07
  5. Step 5: Solve for x
    x = 318,717,680,681.07/599,484.72
  6. Step 6: Final answer
    x = 531,652.72

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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.