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Finding the Fourth Proportional to 614,592, 848,370.24 and 413,504.64

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Solution

The fourth proportional to 614,592, 848,370.24 and 413,504.64 is: 570,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,592 : 848,370.24 = 413,504.64 : x
  2. Step 2: Convert to fraction form
    614,592/848,370.24 = 413,504.64/x
  3. Step 3: Cross multiply
    614,592x = 848,370.24 × 413,504.64
  4. Step 4: Simplify right side
    614,592x = 350,805,030,677.91
  5. Step 5: Solve for x
    x = 350,805,030,677.91/614,592
  6. Step 6: Final answer
    x = 570,793.36

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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.