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Finding the Fourth Proportional to 524,701, 787,184.34 and 150,724

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Solution

The fourth proportional to 524,701, 787,184.34 and 150,724 is: 226,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,701 : 787,184.34 = 150,724 : x
  2. Step 2: Convert to fraction form
    524,701/787,184.34 = 150,724/x
  3. Step 3: Cross multiply
    524,701x = 787,184.34 × 150,724
  4. Step 4: Simplify right side
    524,701x = 118,647,572,462.16
  5. Step 5: Solve for x
    x = 118,647,572,462.16/524,701
  6. Step 6: Final answer
    x = 226,124.16

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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.