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Finding the Fourth Proportional to 661,409, 992,113.50 and 162,773

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Solution

The fourth proportional to 661,409, 992,113.50 and 162,773 is: 244,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,409 : 992,113.50 = 162,773 : x
  2. Step 2: Convert to fraction form
    661,409/992,113.50 = 162,773/x
  3. Step 3: Cross multiply
    661,409x = 992,113.50 × 162,773
  4. Step 4: Simplify right side
    661,409x = 161,489,290,735.50
  5. Step 5: Solve for x
    x = 161,489,290,735.50/661,409
  6. Step 6: Final answer
    x = 244,159.50

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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.