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Finding the Fourth Proportional to 298,715.07, 448,116.82 and 96,243.32

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Solution

The fourth proportional to 298,715.07, 448,116.82 and 96,243.32 is: 144,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.07 : 448,116.82 = 96,243.32 : x
  2. Step 2: Convert to fraction form
    298,715.07/448,116.82 = 96,243.32/x
  3. Step 3: Cross multiply
    298,715.07x = 448,116.82 × 96,243.32
  4. Step 4: Simplify right side
    298,715.07x = 43,128,251,925.69
  5. Step 5: Solve for x
    x = 43,128,251,925.69/298,715.07
  6. Step 6: Final answer
    x = 144,379.23

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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.