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Finding the Fourth Proportional to 298,906.54, 448,048.36 and 130,381.58

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Solution

The fourth proportional to 298,906.54, 448,048.36 and 130,381.58 is: 195,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906.54 : 448,048.36 = 130,381.58 : x
  2. Step 2: Convert to fraction form
    298,906.54/448,048.36 = 130,381.58/x
  3. Step 3: Cross multiply
    298,906.54x = 448,048.36 × 130,381.58
  4. Step 4: Simplify right side
    298,906.54x = 58,417,254,376.31
  5. Step 5: Solve for x
    x = 58,417,254,376.31/298,906.54
  6. Step 6: Final answer
    x = 195,436.52

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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.