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Finding the Fourth Proportional to 461,758.24, 692,706.60 and 162,186

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Solution

The fourth proportional to 461,758.24, 692,706.60 and 162,186 is: 243,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,758.24 : 692,706.60 = 162,186 : x
  2. Step 2: Convert to fraction form
    461,758.24/692,706.60 = 162,186/x
  3. Step 3: Cross multiply
    461,758.24x = 692,706.60 × 162,186
  4. Step 4: Simplify right side
    461,758.24x = 112,347,312,627.60
  5. Step 5: Solve for x
    x = 112,347,312,627.60/461,758.24
  6. Step 6: Final answer
    x = 243,303.32

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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.