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Finding the Fourth Proportional to 476,453.72, 714,489.82 and 210,024.88

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Solution

The fourth proportional to 476,453.72, 714,489.82 and 210,024.88 is: 314,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,453.72 : 714,489.82 = 210,024.88 : x
  2. Step 2: Convert to fraction form
    476,453.72/714,489.82 = 210,024.88/x
  3. Step 3: Cross multiply
    476,453.72x = 714,489.82 × 210,024.88
  4. Step 4: Simplify right side
    476,453.72x = 150,060,638,706.72
  5. Step 5: Solve for x
    x = 150,060,638,706.72/476,453.72
  6. Step 6: Final answer
    x = 314,953.23

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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.