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Finding the Fourth Proportional to 524,700, 787,182.84 and 150,723

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Solution

The fourth proportional to 524,700, 787,182.84 and 150,723 is: 226,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,700 : 787,182.84 = 150,723 : x
  2. Step 2: Convert to fraction form
    524,700/787,182.84 = 150,723/x
  3. Step 3: Cross multiply
    524,700x = 787,182.84 × 150,723
  4. Step 4: Simplify right side
    524,700x = 118,646,559,193.32
  5. Step 5: Solve for x
    x = 118,646,559,193.32/524,700
  6. Step 6: Final answer
    x = 226,122.66

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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.