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Finding the Fourth Proportional to 407,578.82, 611,489.74 and 194,506.70

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Solution

The fourth proportional to 407,578.82, 611,489.74 and 194,506.70 is: 291,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,578.82 : 611,489.74 = 194,506.70 : x
  2. Step 2: Convert to fraction form
    407,578.82/611,489.74 = 194,506.70/x
  3. Step 3: Cross multiply
    407,578.82x = 611,489.74 × 194,506.70
  4. Step 4: Simplify right side
    407,578.82x = 118,938,851,411.26
  5. Step 5: Solve for x
    x = 118,938,851,411.26/407,578.82
  6. Step 6: Final answer
    x = 291,818.04

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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.