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Finding the Fourth Proportional to 461,565.89, 692,658.14 and 162,047.44

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Solution

The fourth proportional to 461,565.89, 692,658.14 and 162,047.44 is: 243,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,565.89 : 692,658.14 = 162,047.44 : x
  2. Step 2: Convert to fraction form
    461,565.89/692,658.14 = 162,047.44/x
  3. Step 3: Cross multiply
    461,565.89x = 692,658.14 × 162,047.44
  4. Step 4: Simplify right side
    461,565.89x = 112,243,474,541.55
  5. Step 5: Solve for x
    x = 112,243,474,541.55/461,565.89
  6. Step 6: Final answer
    x = 243,179.74

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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.