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Finding the Fourth Proportional to 473,480.40, 709,615.80 and 192,680.40

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Solution

The fourth proportional to 473,480.40, 709,615.80 and 192,680.40 is: 288,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,480.40 : 709,615.80 = 192,680.40 : x
  2. Step 2: Convert to fraction form
    473,480.40/709,615.80 = 192,680.40/x
  3. Step 3: Cross multiply
    473,480.40x = 709,615.80 × 192,680.40
  4. Step 4: Simplify right side
    473,480.40x = 136,729,056,190.32
  5. Step 5: Solve for x
    x = 136,729,056,190.32/473,480.40
  6. Step 6: Final answer
    x = 288,774.48

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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.