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Finding the Fourth Proportional to 546,700.40, 819,661.80 and 209,610.80

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Solution

The fourth proportional to 546,700.40, 819,661.80 and 209,610.80 is: 314,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,700.40 : 819,661.80 = 209,610.80 : x
  2. Step 2: Convert to fraction form
    546,700.40/819,661.80 = 209,610.80/x
  3. Step 3: Cross multiply
    546,700.40x = 819,661.80 × 209,610.80
  4. Step 4: Simplify right side
    546,700.40x = 171,809,965,627.44
  5. Step 5: Solve for x
    x = 171,809,965,627.44/546,700.40
  6. Step 6: Final answer
    x = 314,267.13

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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.