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Finding the Fourth Proportional to 295,680.96, 407,897.03 and 193,661.53

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Solution

The fourth proportional to 295,680.96, 407,897.03 and 193,661.53 is: 267,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,680.96 : 407,897.03 = 193,661.53 : x
  2. Step 2: Convert to fraction form
    295,680.96/407,897.03 = 193,661.53/x
  3. Step 3: Cross multiply
    295,680.96x = 407,897.03 × 193,661.53
  4. Step 4: Simplify right side
    295,680.96x = 78,993,962,376.67
  5. Step 5: Solve for x
    x = 78,993,962,376.67/295,680.96
  6. Step 6: Final answer
    x = 267,159.45

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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.