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Finding the Fourth Proportional to 298,071.52, 447,151.74 and 98,413

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Solution

The fourth proportional to 298,071.52, 447,151.74 and 98,413 is: 147,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,071.52 : 447,151.74 = 98,413 : x
  2. Step 2: Convert to fraction form
    298,071.52/447,151.74 = 98,413/x
  3. Step 3: Cross multiply
    298,071.52x = 447,151.74 × 98,413
  4. Step 4: Simplify right side
    298,071.52x = 44,005,544,188.62
  5. Step 5: Solve for x
    x = 44,005,544,188.62/298,071.52
  6. Step 6: Final answer
    x = 147,634.18

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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.