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Finding the Fourth Proportional to 407,591.48, 611,492.93 and 154,876.34

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Solution

The fourth proportional to 407,591.48, 611,492.93 and 154,876.34 is: 232,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,591.48 : 611,492.93 = 154,876.34 : x
  2. Step 2: Convert to fraction form
    407,591.48/611,492.93 = 154,876.34/x
  3. Step 3: Cross multiply
    407,591.48x = 611,492.93 × 154,876.34
  4. Step 4: Simplify right side
    407,591.48x = 94,705,783,102.43
  5. Step 5: Solve for x
    x = 94,705,783,102.43/407,591.48
  6. Step 6: Final answer
    x = 232,354.67

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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.