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Finding the Fourth Proportional to 650,254.94, 897,290.96 and 405,216.98

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Solution

The fourth proportional to 650,254.94, 897,290.96 and 405,216.98 is: 559,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,254.94 : 897,290.96 = 405,216.98 : x
  2. Step 2: Convert to fraction form
    650,254.94/897,290.96 = 405,216.98/x
  3. Step 3: Cross multiply
    650,254.94x = 897,290.96 × 405,216.98
  4. Step 4: Simplify right side
    650,254.94x = 363,597,532,992.50
  5. Step 5: Solve for x
    x = 363,597,532,992.50/650,254.94
  6. Step 6: Final answer
    x = 559,161.51

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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.