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Finding the Fourth Proportional to 298,717.96, 448,029.14 and 99,030.28

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Solution

The fourth proportional to 298,717.96, 448,029.14 and 99,030.28 is: 148,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,717.96 : 448,029.14 = 99,030.28 : x
  2. Step 2: Convert to fraction form
    298,717.96/448,029.14 = 99,030.28/x
  3. Step 3: Cross multiply
    298,717.96x = 448,029.14 × 99,030.28
  4. Step 4: Simplify right side
    298,717.96x = 44,368,451,182.36
  5. Step 5: Solve for x
    x = 44,368,451,182.36/298,717.96
  6. Step 6: Final answer
    x = 148,529.57

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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.