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Finding the Fourth Proportional to 484,106.71, 725,659.77 and 184,506.83

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Solution

The fourth proportional to 484,106.71, 725,659.77 and 184,506.83 is: 276,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,106.71 : 725,659.77 = 184,506.83 : x
  2. Step 2: Convert to fraction form
    484,106.71/725,659.77 = 184,506.83/x
  3. Step 3: Cross multiply
    484,106.71x = 725,659.77 × 184,506.83
  4. Step 4: Simplify right side
    484,106.71x = 133,889,183,821.23
  5. Step 5: Solve for x
    x = 133,889,183,821.23/484,106.71
  6. Step 6: Final answer
    x = 276,569.57

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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.