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Finding the Fourth Proportional to 215,823.60, 323,735.40 and 194,828.40

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Solution

The fourth proportional to 215,823.60, 323,735.40 and 194,828.40 is: 292,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,823.60 : 323,735.40 = 194,828.40 : x
  2. Step 2: Convert to fraction form
    215,823.60/323,735.40 = 194,828.40/x
  3. Step 3: Cross multiply
    215,823.60x = 323,735.40 × 194,828.40
  4. Step 4: Simplify right side
    215,823.60x = 63,072,850,005.36
  5. Step 5: Solve for x
    x = 63,072,850,005.36/215,823.60
  6. Step 6: Final answer
    x = 292,242.60

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1.5x scale

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.