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Finding the Fourth Proportional to 460,594.62, 690,916.68 and 145,076.22

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Solution

The fourth proportional to 460,594.62, 690,916.68 and 145,076.22 is: 217,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,594.62 : 690,916.68 = 145,076.22 : x
  2. Step 2: Convert to fraction form
    460,594.62/690,916.68 = 145,076.22/x
  3. Step 3: Cross multiply
    460,594.62x = 690,916.68 × 145,076.22
  4. Step 4: Simplify right side
    460,594.62x = 100,235,580,269.35
  5. Step 5: Solve for x
    x = 100,235,580,269.35/460,594.62
  6. Step 6: Final answer
    x = 217,622.13

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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.