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Finding the Fourth Proportional to 461,984.52, 692,010.13 and 371,538.33

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Solution

The fourth proportional to 461,984.52, 692,010.13 and 371,538.33 is: 556,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,984.52 : 692,010.13 = 371,538.33 : x
  2. Step 2: Convert to fraction form
    461,984.52/692,010.13 = 371,538.33/x
  3. Step 3: Cross multiply
    461,984.52x = 692,010.13 × 371,538.33
  4. Step 4: Simplify right side
    461,984.52x = 257,108,288,043.28
  5. Step 5: Solve for x
    x = 257,108,288,043.28/461,984.52
  6. Step 6: Final answer
    x = 556,530.09

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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.