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Finding the Fourth Proportional to 460,576.62, 690,889.68 and 145,058.22

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Solution

The fourth proportional to 460,576.62, 690,889.68 and 145,058.22 is: 217,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,576.62 : 690,889.68 = 145,058.22 : x
  2. Step 2: Convert to fraction form
    460,576.62/690,889.68 = 145,058.22/x
  3. Step 3: Cross multiply
    460,576.62x = 690,889.68 × 145,058.22
  4. Step 4: Simplify right side
    460,576.62x = 100,219,227,197.17
  5. Step 5: Solve for x
    x = 100,219,227,197.17/460,576.62
  6. Step 6: Final answer
    x = 217,595.12

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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.