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Finding the Fourth Proportional to 418,083.72, 576,734.40 and 264,851.60

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Solution

The fourth proportional to 418,083.72, 576,734.40 and 264,851.60 is: 365,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,083.72 : 576,734.40 = 264,851.60 : x
  2. Step 2: Convert to fraction form
    418,083.72/576,734.40 = 264,851.60/x
  3. Step 3: Cross multiply
    418,083.72x = 576,734.40 × 264,851.60
  4. Step 4: Simplify right side
    418,083.72x = 152,749,028,615.04
  5. Step 5: Solve for x
    x = 152,749,028,615.04/418,083.72
  6. Step 6: Final answer
    x = 365,355.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.