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Finding the Fourth Proportional to 602,195.84, 903,643.59 and 269,771.84

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Solution

The fourth proportional to 602,195.84, 903,643.59 and 269,771.84 is: 404,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,195.84 : 903,643.59 = 269,771.84 : x
  2. Step 2: Convert to fraction form
    602,195.84/903,643.59 = 269,771.84/x
  3. Step 3: Cross multiply
    602,195.84x = 903,643.59 × 269,771.84
  4. Step 4: Simplify right side
    602,195.84x = 243,777,593,978.51
  5. Step 5: Solve for x
    x = 243,777,593,978.51/602,195.84
  6. Step 6: Final answer
    x = 404,814.48

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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.