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Finding the Fourth Proportional to 506,376.28, 698,242.83 and 325,019.71

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Solution

The fourth proportional to 506,376.28, 698,242.83 and 325,019.71 is: 448,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,376.28 : 698,242.83 = 325,019.71 : x
  2. Step 2: Convert to fraction form
    506,376.28/698,242.83 = 325,019.71/x
  3. Step 3: Cross multiply
    506,376.28x = 698,242.83 × 325,019.71
  4. Step 4: Simplify right side
    506,376.28x = 226,942,682,116.18
  5. Step 5: Solve for x
    x = 226,942,682,116.18/506,376.28
  6. Step 6: Final answer
    x = 448,170.05

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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.