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Finding the Fourth Proportional to 543,205.60, 815,038.80 and 262,578.40

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Solution

The fourth proportional to 543,205.60, 815,038.80 and 262,578.40 is: 393,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,205.60 : 815,038.80 = 262,578.40 : x
  2. Step 2: Convert to fraction form
    543,205.60/815,038.80 = 262,578.40/x
  3. Step 3: Cross multiply
    543,205.60x = 815,038.80 × 262,578.40
  4. Step 4: Simplify right side
    543,205.60x = 214,011,584,041.92
  5. Step 5: Solve for x
    x = 214,011,584,041.92/543,205.60
  6. Step 6: Final answer
    x = 393,978.97

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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.