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Finding the Fourth Proportional to 434,782.80, 652,178.41 and 164,838.35

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Solution

The fourth proportional to 434,782.80, 652,178.41 and 164,838.35 is: 247,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,782.80 : 652,178.41 = 164,838.35 : x
  2. Step 2: Convert to fraction form
    434,782.80/652,178.41 = 164,838.35/x
  3. Step 3: Cross multiply
    434,782.80x = 652,178.41 × 164,838.35
  4. Step 4: Simplify right side
    434,782.80x = 107,504,013,010.02
  5. Step 5: Solve for x
    x = 107,504,013,010.02/434,782.80
  6. Step 6: Final answer
    x = 247,259.12

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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.