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Finding the Fourth Proportional to 381,705.60, 572,558.40 and 223,852.80

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Solution

The fourth proportional to 381,705.60, 572,558.40 and 223,852.80 is: 335,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,705.60 : 572,558.40 = 223,852.80 : x
  2. Step 2: Convert to fraction form
    381,705.60/572,558.40 = 223,852.80/x
  3. Step 3: Cross multiply
    381,705.60x = 572,558.40 × 223,852.80
  4. Step 4: Simplify right side
    381,705.60x = 128,168,801,003.52
  5. Step 5: Solve for x
    x = 128,168,801,003.52/381,705.60
  6. Step 6: Final answer
    x = 335,779.20

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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.