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Finding the Fourth Proportional to 311,989, 468,032.22 and 101,577.40

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Solution

The fourth proportional to 311,989, 468,032.22 and 101,577.40 is: 152,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,989 : 468,032.22 = 101,577.40 : x
  2. Step 2: Convert to fraction form
    311,989/468,032.22 = 101,577.40/x
  3. Step 3: Cross multiply
    311,989x = 468,032.22 × 101,577.40
  4. Step 4: Simplify right side
    311,989x = 47,541,496,023.83
  5. Step 5: Solve for x
    x = 47,541,496,023.83/311,989
  6. Step 6: Final answer
    x = 152,381.96

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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.