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Finding the Fourth Proportional to 465,839.84, 698,587.86 and 166,240.28

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Solution

The fourth proportional to 465,839.84, 698,587.86 and 166,240.28 is: 249,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,839.84 : 698,587.86 = 166,240.28 : x
  2. Step 2: Convert to fraction form
    465,839.84/698,587.86 = 166,240.28/x
  3. Step 3: Cross multiply
    465,839.84x = 698,587.86 × 166,240.28
  4. Step 4: Simplify right side
    465,839.84x = 116,133,441,451.00
  5. Step 5: Solve for x
    x = 116,133,441,451.00/465,839.84
  6. Step 6: Final answer
    x = 249,299.08

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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.