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Finding the Fourth Proportional to 301,688.84, 416,333.24 and 165,725.55

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Solution

The fourth proportional to 301,688.84, 416,333.24 and 165,725.55 is: 228,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,688.84 : 416,333.24 = 165,725.55 : x
  2. Step 2: Convert to fraction form
    301,688.84/416,333.24 = 165,725.55/x
  3. Step 3: Cross multiply
    301,688.84x = 416,333.24 × 165,725.55
  4. Step 4: Simplify right side
    301,688.84x = 68,997,054,353.65
  5. Step 5: Solve for x
    x = 68,997,054,353.65/301,688.84
  6. Step 6: Final answer
    x = 228,702.71

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1.5x scale

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.