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Finding the Fourth Proportional to 467,178.60, 698,207.76 and 341,084.48

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Solution

The fourth proportional to 467,178.60, 698,207.76 and 341,084.48 is: 509,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,178.60 : 698,207.76 = 341,084.48 : x
  2. Step 2: Convert to fraction form
    467,178.60/698,207.76 = 341,084.48/x
  3. Step 3: Cross multiply
    467,178.60x = 698,207.76 × 341,084.48
  4. Step 4: Simplify right side
    467,178.60x = 238,147,830,751.57
  5. Step 5: Solve for x
    x = 238,147,830,751.57/467,178.60
  6. Step 6: Final answer
    x = 509,757.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.