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Finding the Fourth Proportional to 465,655.77, 701,595.27 and 420,729.35

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Solution

The fourth proportional to 465,655.77, 701,595.27 and 420,729.35 is: 633,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,655.77 : 701,595.27 = 420,729.35 : x
  2. Step 2: Convert to fraction form
    465,655.77/701,595.27 = 420,729.35/x
  3. Step 3: Cross multiply
    465,655.77x = 701,595.27 × 420,729.35
  4. Step 4: Simplify right side
    465,655.77x = 295,181,718,402.20
  5. Step 5: Solve for x
    x = 295,181,718,402.20/465,655.77
  6. Step 6: Final answer
    x = 633,905.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.