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Finding the Fourth Proportional to 434,077.60, 651,213.60 and 167,814.40

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Solution

The fourth proportional to 434,077.60, 651,213.60 and 167,814.40 is: 251,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,077.60 : 651,213.60 = 167,814.40 : x
  2. Step 2: Convert to fraction form
    434,077.60/651,213.60 = 167,814.40/x
  3. Step 3: Cross multiply
    434,077.60x = 651,213.60 × 167,814.40
  4. Step 4: Simplify right side
    434,077.60x = 109,283,019,555.84
  5. Step 5: Solve for x
    x = 109,283,019,555.84/434,077.60
  6. Step 6: Final answer
    x = 251,759.18

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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.