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Finding the Fourth Proportional to 298,208.16, 447,216.84 and 98,491.32

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Solution

The fourth proportional to 298,208.16, 447,216.84 and 98,491.32 is: 147,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,208.16 : 447,216.84 = 98,491.32 : x
  2. Step 2: Convert to fraction form
    298,208.16/447,216.84 = 98,491.32/x
  3. Step 3: Cross multiply
    298,208.16x = 447,216.84 × 98,491.32
  4. Step 4: Simplify right side
    298,208.16x = 44,046,976,897.83
  5. Step 5: Solve for x
    x = 44,046,976,897.83/298,208.16
  6. Step 6: Final answer
    x = 147,705.47

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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.