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Finding the Fourth Proportional to 434,611.20, 652,111.20 and 209,884.80

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Solution

The fourth proportional to 434,611.20, 652,111.20 and 209,884.80 is: 314,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,611.20 : 652,111.20 = 209,884.80 : x
  2. Step 2: Convert to fraction form
    434,611.20/652,111.20 = 209,884.80/x
  3. Step 3: Cross multiply
    434,611.20x = 652,111.20 × 209,884.80
  4. Step 4: Simplify right side
    434,611.20x = 136,868,228,789.76
  5. Step 5: Solve for x
    x = 136,868,228,789.76/434,611.20
  6. Step 6: Final answer
    x = 314,921.08

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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.