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Finding the Fourth Proportional to 314,040.47, 470,989.96 and 89,395.94

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Solution

The fourth proportional to 314,040.47, 470,989.96 and 89,395.94 is: 134,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,040.47 : 470,989.96 = 89,395.94 : x
  2. Step 2: Convert to fraction form
    314,040.47/470,989.96 = 89,395.94/x
  3. Step 3: Cross multiply
    314,040.47x = 470,989.96 × 89,395.94
  4. Step 4: Simplify right side
    314,040.47x = 42,104,591,158.75
  5. Step 5: Solve for x
    x = 42,104,591,158.75/314,040.47
  6. Step 6: Final answer
    x = 134,073.78

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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.