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Finding the Fourth Proportional to 736,354.84, 1,102,760.78 and 419,852.20

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Solution

The fourth proportional to 736,354.84, 1,102,760.78 and 419,852.20 is: 628,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,354.84 : 1,102,760.78 = 419,852.20 : x
  2. Step 2: Convert to fraction form
    736,354.84/1,102,760.78 = 419,852.20/x
  3. Step 3: Cross multiply
    736,354.84x = 1,102,760.78 × 419,852.20
  4. Step 4: Simplify right side
    736,354.84x = 462,996,539,556.72
  5. Step 5: Solve for x
    x = 462,996,539,556.72/736,354.84
  6. Step 6: Final answer
    x = 628,768.24

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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.