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Finding the Fourth Proportional to 972,096, 1,341,544.32 and 569,817.60

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Solution

The fourth proportional to 972,096, 1,341,544.32 and 569,817.60 is: 786,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,096 : 1,341,544.32 = 569,817.60 : x
  2. Step 2: Convert to fraction form
    972,096/1,341,544.32 = 569,817.60/x
  3. Step 3: Cross multiply
    972,096x = 1,341,544.32 × 569,817.60
  4. Step 4: Simplify right side
    972,096x = 764,435,564,716.03
  5. Step 5: Solve for x
    x = 764,435,564,716.03/972,096
  6. Step 6: Final answer
    x = 786,378.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.