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Finding the Fourth Proportional to 506,324.88, 698,797.80 and 305,082

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Solution

The fourth proportional to 506,324.88, 698,797.80 and 305,082 is: 421,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,324.88 : 698,797.80 = 305,082 : x
  2. Step 2: Convert to fraction form
    506,324.88/698,797.80 = 305,082/x
  3. Step 3: Cross multiply
    506,324.88x = 698,797.80 × 305,082
  4. Step 4: Simplify right side
    506,324.88x = 213,190,630,419.60
  5. Step 5: Solve for x
    x = 213,190,630,419.60/506,324.88
  6. Step 6: Final answer
    x = 421,055.02

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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.