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Finding the Fourth Proportional to 305,431.95, 421,476.03 and 169,465.53

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Solution

The fourth proportional to 305,431.95, 421,476.03 and 169,465.53 is: 233,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,431.95 : 421,476.03 = 169,465.53 : x
  2. Step 2: Convert to fraction form
    305,431.95/421,476.03 = 169,465.53/x
  3. Step 3: Cross multiply
    305,431.95x = 421,476.03 × 169,465.53
  4. Step 4: Simplify right side
    305,431.95x = 71,425,658,806.25
  5. Step 5: Solve for x
    x = 71,425,658,806.25/305,431.95
  6. Step 6: Final answer
    x = 233,851.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.