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Finding the Fourth Proportional to 434,391.92, 651,689.94 and 134,857.16

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Solution

The fourth proportional to 434,391.92, 651,689.94 and 134,857.16 is: 202,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,391.92 : 651,689.94 = 134,857.16 : x
  2. Step 2: Convert to fraction form
    434,391.92/651,689.94 = 134,857.16/x
  3. Step 3: Cross multiply
    434,391.92x = 651,689.94 × 134,857.16
  4. Step 4: Simplify right side
    434,391.92x = 87,885,054,508.97
  5. Step 5: Solve for x
    x = 87,885,054,508.97/434,391.92
  6. Step 6: Final answer
    x = 202,317.42

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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.