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Finding the Fourth Proportional to 434,095.20, 651,142.80 and 153,640.80

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Solution

The fourth proportional to 434,095.20, 651,142.80 and 153,640.80 is: 230,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,095.20 : 651,142.80 = 153,640.80 : x
  2. Step 2: Convert to fraction form
    434,095.20/651,142.80 = 153,640.80/x
  3. Step 3: Cross multiply
    434,095.20x = 651,142.80 × 153,640.80
  4. Step 4: Simplify right side
    434,095.20x = 100,042,100,706.24
  5. Step 5: Solve for x
    x = 100,042,100,706.24/434,095.20
  6. Step 6: Final answer
    x = 230,461.20

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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.