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Finding the Fourth Proportional to 524,246, 786,369 and 174,038

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Solution

The fourth proportional to 524,246, 786,369 and 174,038 is: 261,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,246 : 786,369 = 174,038 : x
  2. Step 2: Convert to fraction form
    524,246/786,369 = 174,038/x
  3. Step 3: Cross multiply
    524,246x = 786,369 × 174,038
  4. Step 4: Simplify right side
    524,246x = 136,858,088,022
  5. Step 5: Solve for x
    x = 136,858,088,022/524,246
  6. Step 6: Final answer
    x = 261,057

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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.