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Finding the Fourth Proportional to 460,599.92, 690,431.82 and 190,874.81

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Solution

The fourth proportional to 460,599.92, 690,431.82 and 190,874.81 is: 286,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,599.92 : 690,431.82 = 190,874.81 : x
  2. Step 2: Convert to fraction form
    460,599.92/690,431.82 = 190,874.81/x
  3. Step 3: Cross multiply
    460,599.92x = 690,431.82 × 190,874.81
  4. Step 4: Simplify right side
    460,599.92x = 131,786,038,292.52
  5. Step 5: Solve for x
    x = 131,786,038,292.52/460,599.92
  6. Step 6: Final answer
    x = 286,118.24

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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.