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Finding the Fourth Proportional to 487,614.96, 731,419.56 and 184,065.84

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Solution

The fourth proportional to 487,614.96, 731,419.56 and 184,065.84 is: 276,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,614.96 : 731,419.56 = 184,065.84 : x
  2. Step 2: Convert to fraction form
    487,614.96/731,419.56 = 184,065.84/x
  3. Step 3: Cross multiply
    487,614.96x = 731,419.56 × 184,065.84
  4. Step 4: Simplify right side
    487,614.96x = 134,629,355,703.83
  5. Step 5: Solve for x
    x = 134,629,355,703.83/487,614.96
  6. Step 6: Final answer
    x = 276,097.67

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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.