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Finding the Fourth Proportional to 393,669, 590,503.50 and 98,181

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Solution

The fourth proportional to 393,669, 590,503.50 and 98,181 is: 147,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,669 : 590,503.50 = 98,181 : x
  2. Step 2: Convert to fraction form
    393,669/590,503.50 = 98,181/x
  3. Step 3: Cross multiply
    393,669x = 590,503.50 × 98,181
  4. Step 4: Simplify right side
    393,669x = 57,976,224,133.50
  5. Step 5: Solve for x
    x = 57,976,224,133.50/393,669
  6. Step 6: Final answer
    x = 147,271.50

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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.