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Finding the Fourth Proportional to 434,269.60, 651,469.20 and 153,764.80

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Solution

The fourth proportional to 434,269.60, 651,469.20 and 153,764.80 is: 230,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,269.60 : 651,469.20 = 153,764.80 : x
  2. Step 2: Convert to fraction form
    434,269.60/651,469.20 = 153,764.80/x
  3. Step 3: Cross multiply
    434,269.60x = 651,469.20 × 153,764.80
  4. Step 4: Simplify right side
    434,269.60x = 100,173,031,244.16
  5. Step 5: Solve for x
    x = 100,173,031,244.16/434,269.60
  6. Step 6: Final answer
    x = 230,670.14

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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.