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Finding the Fourth Proportional to 522,513.71, 721,222.01 and 341,253.80

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Solution

The fourth proportional to 522,513.71, 721,222.01 and 341,253.80 is: 471,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,513.71 : 721,222.01 = 341,253.80 : x
  2. Step 2: Convert to fraction form
    522,513.71/721,222.01 = 341,253.80/x
  3. Step 3: Cross multiply
    522,513.71x = 721,222.01 × 341,253.80
  4. Step 4: Simplify right side
    522,513.71x = 246,119,751,556.14
  5. Step 5: Solve for x
    x = 246,119,751,556.14/522,513.71
  6. Step 6: Final answer
    x = 471,030.23

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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.