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Finding the Fourth Proportional to 434,097.60, 651,243.60 and 167,834.40

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Solution

The fourth proportional to 434,097.60, 651,243.60 and 167,834.40 is: 251,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,097.60 : 651,243.60 = 167,834.40 : x
  2. Step 2: Convert to fraction form
    434,097.60/651,243.60 = 167,834.40/x
  3. Step 3: Cross multiply
    434,097.60x = 651,243.60 × 167,834.40
  4. Step 4: Simplify right side
    434,097.60x = 109,301,078,859.84
  5. Step 5: Solve for x
    x = 109,301,078,859.84/434,097.60
  6. Step 6: Final answer
    x = 251,789.18

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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.