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Finding the Fourth Proportional to 437,235.04, 655,944.72 and 141,724

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Solution

The fourth proportional to 437,235.04, 655,944.72 and 141,724 is: 212,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,235.04 : 655,944.72 = 141,724 : x
  2. Step 2: Convert to fraction form
    437,235.04/655,944.72 = 141,724/x
  3. Step 3: Cross multiply
    437,235.04x = 655,944.72 × 141,724
  4. Step 4: Simplify right side
    437,235.04x = 92,963,109,497.28
  5. Step 5: Solve for x
    x = 92,963,109,497.28/437,235.04
  6. Step 6: Final answer
    x = 212,615.87

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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.