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Finding the Fourth Proportional to 863,430, 1,191,533.40 and 505,734

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Solution

The fourth proportional to 863,430, 1,191,533.40 and 505,734 is: 697,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,430 : 1,191,533.40 = 505,734 : x
  2. Step 2: Convert to fraction form
    863,430/1,191,533.40 = 505,734/x
  3. Step 3: Cross multiply
    863,430x = 1,191,533.40 × 505,734
  4. Step 4: Simplify right side
    863,430x = 602,598,952,515.60
  5. Step 5: Solve for x
    x = 602,598,952,515.60/863,430
  6. Step 6: Final answer
    x = 697,912.92

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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.