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Finding the Fourth Proportional to 435,492.81, 653,129.60 and 154,944.45

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Solution

The fourth proportional to 435,492.81, 653,129.60 and 154,944.45 is: 232,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,492.81 : 653,129.60 = 154,944.45 : x
  2. Step 2: Convert to fraction form
    435,492.81/653,129.60 = 154,944.45/x
  3. Step 3: Cross multiply
    435,492.81x = 653,129.60 × 154,944.45
  4. Step 4: Simplify right side
    435,492.81x = 101,198,805,876.00
  5. Step 5: Solve for x
    x = 101,198,805,876.00/435,492.81
  6. Step 6: Final answer
    x = 232,377.67

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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.