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Finding the Fourth Proportional to 524,624.74, 787,186.08 and 271,858

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Solution

The fourth proportional to 524,624.74, 787,186.08 and 271,858 is: 407,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,624.74 : 787,186.08 = 271,858 : x
  2. Step 2: Convert to fraction form
    524,624.74/787,186.08 = 271,858/x
  3. Step 3: Cross multiply
    524,624.74x = 787,186.08 × 271,858
  4. Step 4: Simplify right side
    524,624.74x = 214,002,833,336.64
  5. Step 5: Solve for x
    x = 214,002,833,336.64/524,624.74
  6. Step 6: Final answer
    x = 407,916.02

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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.