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Finding the Fourth Proportional to 289,598.71, 399,409.24 and 203,841.58

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Solution

The fourth proportional to 289,598.71, 399,409.24 and 203,841.58 is: 281,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,598.71 : 399,409.24 = 203,841.58 : x
  2. Step 2: Convert to fraction form
    289,598.71/399,409.24 = 203,841.58/x
  3. Step 3: Cross multiply
    289,598.71x = 399,409.24 × 203,841.58
  4. Step 4: Simplify right side
    289,598.71x = 81,416,207,531.95
  5. Step 5: Solve for x
    x = 81,416,207,531.95/289,598.71
  6. Step 6: Final answer
    x = 281,134.57

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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.