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Finding the Fourth Proportional to 487,612.96, 731,416.56 and 184,063.84

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Solution

The fourth proportional to 487,612.96, 731,416.56 and 184,063.84 is: 276,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,612.96 : 731,416.56 = 184,063.84 : x
  2. Step 2: Convert to fraction form
    487,612.96/731,416.56 = 184,063.84/x
  3. Step 3: Cross multiply
    487,612.96x = 731,416.56 × 184,063.84
  4. Step 4: Simplify right side
    487,612.96x = 134,627,340,673.19
  5. Step 5: Solve for x
    x = 134,627,340,673.19/487,612.96
  6. Step 6: Final answer
    x = 276,094.67

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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.