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Finding the Fourth Proportional to 411,442.76, 617,397.26 and 162,299.72

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Solution

The fourth proportional to 411,442.76, 617,397.26 and 162,299.72 is: 243,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,442.76 : 617,397.26 = 162,299.72 : x
  2. Step 2: Convert to fraction form
    411,442.76/617,397.26 = 162,299.72/x
  3. Step 3: Cross multiply
    411,442.76x = 617,397.26 × 162,299.72
  4. Step 4: Simplify right side
    411,442.76x = 100,203,402,426.77
  5. Step 5: Solve for x
    x = 100,203,402,426.77/411,442.76
  6. Step 6: Final answer
    x = 243,541.54

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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.