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Finding the Fourth Proportional to 269,424.72, 403,873.02 and 229,533.84

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Solution

The fourth proportional to 269,424.72, 403,873.02 and 229,533.84 is: 344,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424.72 : 403,873.02 = 229,533.84 : x
  2. Step 2: Convert to fraction form
    269,424.72/403,873.02 = 229,533.84/x
  3. Step 3: Cross multiply
    269,424.72x = 403,873.02 × 229,533.84
  4. Step 4: Simplify right side
    269,424.72x = 92,702,525,153.00
  5. Step 5: Solve for x
    x = 92,702,525,153.00/269,424.72
  6. Step 6: Final answer
    x = 344,075.80

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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.