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Finding the Fourth Proportional to 309,040.90, 463,574.51 and 109,362.94

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Solution

The fourth proportional to 309,040.90, 463,574.51 and 109,362.94 is: 164,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,040.90 : 463,574.51 = 109,362.94 : x
  2. Step 2: Convert to fraction form
    309,040.90/463,574.51 = 109,362.94/x
  3. Step 3: Cross multiply
    309,040.90x = 463,574.51 × 109,362.94
  4. Step 4: Simplify right side
    309,040.90x = 50,697,871,322.66
  5. Step 5: Solve for x
    x = 50,697,871,322.66/309,040.90
  6. Step 6: Final answer
    x = 164,049.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.