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Finding the Fourth Proportional to 601,738.42, 902,649.15 and 175,277.78

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Solution

The fourth proportional to 601,738.42, 902,649.15 and 175,277.78 is: 262,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,738.42 : 902,649.15 = 175,277.78 : x
  2. Step 2: Convert to fraction form
    601,738.42/902,649.15 = 175,277.78/x
  3. Step 3: Cross multiply
    601,738.42x = 902,649.15 × 175,277.78
  4. Step 4: Simplify right side
    601,738.42x = 158,214,338,254.50
  5. Step 5: Solve for x
    x = 158,214,338,254.50/601,738.42
  6. Step 6: Final answer
    x = 262,928.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.