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Finding the Fourth Proportional to 548,925.80, 823,907.10 and 338,973.80

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Solution

The fourth proportional to 548,925.80, 823,907.10 and 338,973.80 is: 508,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,925.80 : 823,907.10 = 338,973.80 : x
  2. Step 2: Convert to fraction form
    548,925.80/823,907.10 = 338,973.80/x
  3. Step 3: Cross multiply
    548,925.80x = 823,907.10 × 338,973.80
  4. Step 4: Simplify right side
    548,925.80x = 279,282,920,533.98
  5. Step 5: Solve for x
    x = 279,282,920,533.98/548,925.80
  6. Step 6: Final answer
    x = 508,780.82

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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.