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Finding the Fourth Proportional to 397,853.79, 596,774.81 and 98,334.40

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Solution

The fourth proportional to 397,853.79, 596,774.81 and 98,334.40 is: 147,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,853.79 : 596,774.81 = 98,334.40 : x
  2. Step 2: Convert to fraction form
    397,853.79/596,774.81 = 98,334.40/x
  3. Step 3: Cross multiply
    397,853.79x = 596,774.81 × 98,334.40
  4. Step 4: Simplify right side
    397,853.79x = 58,683,489,400.92
  5. Step 5: Solve for x
    x = 58,683,489,400.92/397,853.79
  6. Step 6: Final answer
    x = 147,500.14

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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.