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Finding the Fourth Proportional to 445,680.95, 668,725.54 and 193,038.71

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Solution

The fourth proportional to 445,680.95, 668,725.54 and 193,038.71 is: 289,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,680.95 : 668,725.54 = 193,038.71 : x
  2. Step 2: Convert to fraction form
    445,680.95/668,725.54 = 193,038.71/x
  3. Step 3: Cross multiply
    445,680.95x = 668,725.54 × 193,038.71
  4. Step 4: Simplify right side
    445,680.95x = 129,089,911,759.43
  5. Step 5: Solve for x
    x = 129,089,911,759.43/445,680.95
  6. Step 6: Final answer
    x = 289,646.47

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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.