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Finding the Fourth Proportional to 726,465, 1,089,697.50 and 201,153

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Solution

The fourth proportional to 726,465, 1,089,697.50 and 201,153 is: 301,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,465 : 1,089,697.50 = 201,153 : x
  2. Step 2: Convert to fraction form
    726,465/1,089,697.50 = 201,153/x
  3. Step 3: Cross multiply
    726,465x = 1,089,697.50 × 201,153
  4. Step 4: Simplify right side
    726,465x = 219,195,921,217.50
  5. Step 5: Solve for x
    x = 219,195,921,217.50/726,465
  6. Step 6: Final answer
    x = 301,729.50

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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.