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Finding the Fourth Proportional to 301,994, 453,040.16 and 99,529.76

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Solution

The fourth proportional to 301,994, 453,040.16 and 99,529.76 is: 149,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,994 : 453,040.16 = 99,529.76 : x
  2. Step 2: Convert to fraction form
    301,994/453,040.16 = 99,529.76/x
  3. Step 3: Cross multiply
    301,994x = 453,040.16 × 99,529.76
  4. Step 4: Simplify right side
    301,994x = 45,090,978,395.16
  5. Step 5: Solve for x
    x = 45,090,978,395.16/301,994
  6. Step 6: Final answer
    x = 149,310.84

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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.