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Finding the Fourth Proportional to 468,094.10, 702,141.15 and 397,235.30

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Solution

The fourth proportional to 468,094.10, 702,141.15 and 397,235.30 is: 595,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,094.10 : 702,141.15 = 397,235.30 : x
  2. Step 2: Convert to fraction form
    468,094.10/702,141.15 = 397,235.30/x
  3. Step 3: Cross multiply
    468,094.10x = 702,141.15 × 397,235.30
  4. Step 4: Simplify right side
    468,094.10x = 278,915,250,362.60
  5. Step 5: Solve for x
    x = 278,915,250,362.60/468,094.10
  6. Step 6: Final answer
    x = 595,852.95

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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.