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Finding the Fourth Proportional to 468,474.80, 702,416.93 and 397,422.35

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Solution

The fourth proportional to 468,474.80, 702,416.93 and 397,422.35 is: 595,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,474.80 : 702,416.93 = 397,422.35 : x
  2. Step 2: Convert to fraction form
    468,474.80/702,416.93 = 397,422.35/x
  3. Step 3: Cross multiply
    468,474.80x = 702,416.93 × 397,422.35
  4. Step 4: Simplify right side
    468,474.80x = 279,156,181,501.19
  5. Step 5: Solve for x
    x = 279,156,181,501.19/468,474.80
  6. Step 6: Final answer
    x = 595,883.03

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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.