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Finding the Fourth Proportional to 296,486.40, 444,800.40 and 96,807.16

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Solution

The fourth proportional to 296,486.40, 444,800.40 and 96,807.16 is: 145,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,486.40 : 444,800.40 = 96,807.16 : x
  2. Step 2: Convert to fraction form
    296,486.40/444,800.40 = 96,807.16/x
  3. Step 3: Cross multiply
    296,486.40x = 444,800.40 × 96,807.16
  4. Step 4: Simplify right side
    296,486.40x = 43,059,863,490.86
  5. Step 5: Solve for x
    x = 43,059,863,490.86/296,486.40
  6. Step 6: Final answer
    x = 145,233.86

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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.