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Finding the Fourth Proportional to 535,092.48, 801,999.02 and 407,743.47

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Solution

The fourth proportional to 535,092.48, 801,999.02 and 407,743.47 is: 611,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,092.48 : 801,999.02 = 407,743.47 : x
  2. Step 2: Convert to fraction form
    535,092.48/801,999.02 = 407,743.47/x
  3. Step 3: Cross multiply
    535,092.48x = 801,999.02 × 407,743.47
  4. Step 4: Simplify right side
    535,092.48x = 327,009,864,370.76
  5. Step 5: Solve for x
    x = 327,009,864,370.76/535,092.48
  6. Step 6: Final answer
    x = 611,127.75

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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.