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Finding the Fourth Proportional to 298,982.81, 448,475.84 and 77,366.81

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Solution

The fourth proportional to 298,982.81, 448,475.84 and 77,366.81 is: 116,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,982.81 : 448,475.84 = 77,366.81 : x
  2. Step 2: Convert to fraction form
    298,982.81/448,475.84 = 77,366.81/x
  3. Step 3: Cross multiply
    298,982.81x = 448,475.84 × 77,366.81
  4. Step 4: Simplify right side
    298,982.81x = 34,697,146,127.35
  5. Step 5: Solve for x
    x = 34,697,146,127.35/298,982.81
  6. Step 6: Final answer
    x = 116,050.64

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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.