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Finding the Fourth Proportional to 584,186.76, 876,312 and 184,797.81

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Solution

The fourth proportional to 584,186.76, 876,312 and 184,797.81 is: 277,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,186.76 : 876,312 = 184,797.81 : x
  2. Step 2: Convert to fraction form
    584,186.76/876,312 = 184,797.81/x
  3. Step 3: Cross multiply
    584,186.76x = 876,312 × 184,797.81
  4. Step 4: Simplify right side
    584,186.76x = 161,940,538,476.72
  5. Step 5: Solve for x
    x = 161,940,538,476.72/584,186.76
  6. Step 6: Final answer
    x = 277,206.79

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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.