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Finding the Fourth Proportional to 465,350.94, 698,030.01 and 254,874.06

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Solution

The fourth proportional to 465,350.94, 698,030.01 and 254,874.06 is: 382,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,350.94 : 698,030.01 = 254,874.06 : x
  2. Step 2: Convert to fraction form
    465,350.94/698,030.01 = 254,874.06/x
  3. Step 3: Cross multiply
    465,350.94x = 698,030.01 × 254,874.06
  4. Step 4: Simplify right side
    465,350.94x = 177,909,742,650.54
  5. Step 5: Solve for x
    x = 177,909,742,650.54/465,350.94
  6. Step 6: Final answer
    x = 382,313.06

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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.