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Finding the Fourth Proportional to 477,441, 716,161.69 and 122,455.02

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Solution

The fourth proportional to 477,441, 716,161.69 and 122,455.02 is: 183,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,441 : 716,161.69 = 122,455.02 : x
  2. Step 2: Convert to fraction form
    477,441/716,161.69 = 122,455.02/x
  3. Step 3: Cross multiply
    477,441x = 716,161.69 × 122,455.02
  4. Step 4: Simplify right side
    477,441x = 87,697,594,072.18
  5. Step 5: Solve for x
    x = 87,697,594,072.18/477,441
  6. Step 6: Final answer
    x = 183,682.58

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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.