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Finding the Fourth Proportional to 434,309.04, 652,180.14 and 293,061.78

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Solution

The fourth proportional to 434,309.04, 652,180.14 and 293,061.78 is: 440,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,309.04 : 652,180.14 = 293,061.78 : x
  2. Step 2: Convert to fraction form
    434,309.04/652,180.14 = 293,061.78/x
  3. Step 3: Cross multiply
    434,309.04x = 652,180.14 × 293,061.78
  4. Step 4: Simplify right side
    434,309.04x = 191,129,072,709.05
  5. Step 5: Solve for x
    x = 191,129,072,709.05/434,309.04
  6. Step 6: Final answer
    x = 440,076.20

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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.