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Finding the Fourth Proportional to 298,818.71, 448,272.17 and 106,678.23

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Solution

The fourth proportional to 298,818.71, 448,272.17 and 106,678.23 is: 160,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,818.71 : 448,272.17 = 106,678.23 : x
  2. Step 2: Convert to fraction form
    298,818.71/448,272.17 = 106,678.23/x
  3. Step 3: Cross multiply
    298,818.71x = 448,272.17 × 106,678.23
  4. Step 4: Simplify right side
    298,818.71x = 47,820,883,201.53
  5. Step 5: Solve for x
    x = 47,820,883,201.53/298,818.71
  6. Step 6: Final answer
    x = 160,033.10

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1.5x scale

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.