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Finding the Fourth Proportional to 482,413, 665,730.10 and 267,586.12

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Solution

The fourth proportional to 482,413, 665,730.10 and 267,586.12 is: 369,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,413 : 665,730.10 = 267,586.12 : x
  2. Step 2: Convert to fraction form
    482,413/665,730.10 = 267,586.12/x
  3. Step 3: Cross multiply
    482,413x = 665,730.10 × 267,586.12
  4. Step 4: Simplify right side
    482,413x = 178,140,134,426.21
  5. Step 5: Solve for x
    x = 178,140,134,426.21/482,413
  6. Step 6: Final answer
    x = 369,268.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.