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Finding the Fourth Proportional to 381,802.60, 572,703.90 and 204,218.20

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Solution

The fourth proportional to 381,802.60, 572,703.90 and 204,218.20 is: 306,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,802.60 : 572,703.90 = 204,218.20 : x
  2. Step 2: Convert to fraction form
    381,802.60/572,703.90 = 204,218.20/x
  3. Step 3: Cross multiply
    381,802.60x = 572,703.90 × 204,218.20
  4. Step 4: Simplify right side
    381,802.60x = 116,956,559,590.98
  5. Step 5: Solve for x
    x = 116,956,559,590.98/381,802.60
  6. Step 6: Final answer
    x = 306,327.30

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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.