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Finding the Fourth Proportional to 290,712.80, 435,777.60 and 133,054.40

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Solution

The fourth proportional to 290,712.80, 435,777.60 and 133,054.40 is: 199,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,712.80 : 435,777.60 = 133,054.40 : x
  2. Step 2: Convert to fraction form
    290,712.80/435,777.60 = 133,054.40/x
  3. Step 3: Cross multiply
    290,712.80x = 435,777.60 × 133,054.40
  4. Step 4: Simplify right side
    290,712.80x = 57,982,127,101.44
  5. Step 5: Solve for x
    x = 57,982,127,101.44/290,712.80
  6. Step 6: Final answer
    x = 199,448.14

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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.