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Finding the Fourth Proportional to 489,816.40, 734,551.80 and 174,283.60

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Solution

The fourth proportional to 489,816.40, 734,551.80 and 174,283.60 is: 261,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,816.40 : 734,551.80 = 174,283.60 : x
  2. Step 2: Convert to fraction form
    489,816.40/734,551.80 = 174,283.60/x
  3. Step 3: Cross multiply
    489,816.40x = 734,551.80 × 174,283.60
  4. Step 4: Simplify right side
    489,816.40x = 128,020,332,090.48
  5. Step 5: Solve for x
    x = 128,020,332,090.48/489,816.40
  6. Step 6: Final answer
    x = 261,363.92

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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.