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Finding the Fourth Proportional to 524,176.59, 786,260.57 and 150,199.95

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Solution

The fourth proportional to 524,176.59, 786,260.57 and 150,199.95 is: 225,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,176.59 : 786,260.57 = 150,199.95 : x
  2. Step 2: Convert to fraction form
    524,176.59/786,260.57 = 150,199.95/x
  3. Step 3: Cross multiply
    524,176.59x = 786,260.57 × 150,199.95
  4. Step 4: Simplify right side
    524,176.59x = 118,096,297,549.97
  5. Step 5: Solve for x
    x = 118,096,297,549.97/524,176.59
  6. Step 6: Final answer
    x = 225,298.69

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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.