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Finding the Fourth Proportional to 551,495.60, 827,243.40 and 314,862.20

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Solution

The fourth proportional to 551,495.60, 827,243.40 and 314,862.20 is: 472,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,495.60 : 827,243.40 = 314,862.20 : x
  2. Step 2: Convert to fraction form
    551,495.60/827,243.40 = 314,862.20/x
  3. Step 3: Cross multiply
    551,495.60x = 827,243.40 × 314,862.20
  4. Step 4: Simplify right side
    551,495.60x = 260,467,676,859.48
  5. Step 5: Solve for x
    x = 260,467,676,859.48/551,495.60
  6. Step 6: Final answer
    x = 472,293.30

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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.