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Finding the Fourth Proportional to 333,213.76, 459,648.10 and 204,214.74

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Solution

The fourth proportional to 333,213.76, 459,648.10 and 204,214.74 is: 281,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,213.76 : 459,648.10 = 204,214.74 : x
  2. Step 2: Convert to fraction form
    333,213.76/459,648.10 = 204,214.74/x
  3. Step 3: Cross multiply
    333,213.76x = 459,648.10 × 204,214.74
  4. Step 4: Simplify right side
    333,213.76x = 93,866,917,232.99
  5. Step 5: Solve for x
    x = 93,866,917,232.99/333,213.76
  6. Step 6: Final answer
    x = 281,701.80

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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.