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Finding the Fourth Proportional to 434,538.42, 651,869.76 and 164,593.80

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Solution

The fourth proportional to 434,538.42, 651,869.76 and 164,593.80 is: 246,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,538.42 : 651,869.76 = 164,593.80 : x
  2. Step 2: Convert to fraction form
    434,538.42/651,869.76 = 164,593.80/x
  3. Step 3: Cross multiply
    434,538.42x = 651,869.76 × 164,593.80
  4. Step 4: Simplify right side
    434,538.42x = 107,293,720,903.49
  5. Step 5: Solve for x
    x = 107,293,720,903.49/434,538.42
  6. Step 6: Final answer
    x = 246,914.23

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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.