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Finding the Fourth Proportional to 734,147.40, 1,101,221.10 and 419,219.40

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Solution

The fourth proportional to 734,147.40, 1,101,221.10 and 419,219.40 is: 628,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,147.40 : 1,101,221.10 = 419,219.40 : x
  2. Step 2: Convert to fraction form
    734,147.40/1,101,221.10 = 419,219.40/x
  3. Step 3: Cross multiply
    734,147.40x = 1,101,221.10 × 419,219.40
  4. Step 4: Simplify right side
    734,147.40x = 461,653,248,809.34
  5. Step 5: Solve for x
    x = 461,653,248,809.34/734,147.40
  6. Step 6: Final answer
    x = 628,829.10

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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.