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Finding the Fourth Proportional to 593,297.50, 889,938.60 and 144,022

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Solution

The fourth proportional to 593,297.50, 889,938.60 and 144,022 is: 216,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,297.50 : 889,938.60 = 144,022 : x
  2. Step 2: Convert to fraction form
    593,297.50/889,938.60 = 144,022/x
  3. Step 3: Cross multiply
    593,297.50x = 889,938.60 × 144,022
  4. Step 4: Simplify right side
    593,297.50x = 128,170,737,049.20
  5. Step 5: Solve for x
    x = 128,170,737,049.20/593,297.50
  6. Step 6: Final answer
    x = 216,031.14

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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.