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Finding the Fourth Proportional to 353,443.92, 487,566.72 and 210,102

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Solution

The fourth proportional to 353,443.92, 487,566.72 and 210,102 is: 289,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,443.92 : 487,566.72 = 210,102 : x
  2. Step 2: Convert to fraction form
    353,443.92/487,566.72 = 210,102/x
  3. Step 3: Cross multiply
    353,443.92x = 487,566.72 × 210,102
  4. Step 4: Simplify right side
    353,443.92x = 102,438,743,005.44
  5. Step 5: Solve for x
    x = 102,438,743,005.44/353,443.92
  6. Step 6: Final answer
    x = 289,830.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.