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Finding the Fourth Proportional to 468,647.20, 702,970.80 and 113,660.65

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Solution

The fourth proportional to 468,647.20, 702,970.80 and 113,660.65 is: 170,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,647.20 : 702,970.80 = 113,660.65 : x
  2. Step 2: Convert to fraction form
    468,647.20/702,970.80 = 113,660.65/x
  3. Step 3: Cross multiply
    468,647.20x = 702,970.80 × 113,660.65
  4. Step 4: Simplify right side
    468,647.20x = 79,900,118,059.02
  5. Step 5: Solve for x
    x = 79,900,118,059.02/468,647.20
  6. Step 6: Final answer
    x = 170,490.98

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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.