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Finding the Fourth Proportional to 333,849.65, 501,274.78 and 289,009.32

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Solution

The fourth proportional to 333,849.65, 501,274.78 and 289,009.32 is: 433,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,849.65 : 501,274.78 = 289,009.32 : x
  2. Step 2: Convert to fraction form
    333,849.65/501,274.78 = 289,009.32/x
  3. Step 3: Cross multiply
    333,849.65x = 501,274.78 × 289,009.32
  4. Step 4: Simplify right side
    333,849.65x = 144,873,080,698.65
  5. Step 5: Solve for x
    x = 144,873,080,698.65/333,849.65
  6. Step 6: Final answer
    x = 433,947.08

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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.