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Finding the Fourth Proportional to 289,192.65, 433,034.43 and 232,724.31

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Solution

The fourth proportional to 289,192.65, 433,034.43 and 232,724.31 is: 348,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,192.65 : 433,034.43 = 232,724.31 : x
  2. Step 2: Convert to fraction form
    289,192.65/433,034.43 = 232,724.31/x
  3. Step 3: Cross multiply
    289,192.65x = 433,034.43 × 232,724.31
  4. Step 4: Simplify right side
    289,192.65x = 100,777,638,927.99
  5. Step 5: Solve for x
    x = 100,777,638,927.99/289,192.65
  6. Step 6: Final answer
    x = 348,479.25

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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.