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Finding the Fourth Proportional to 290,714.80, 435,780.60 and 133,056.40

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Solution

The fourth proportional to 290,714.80, 435,780.60 and 133,056.40 is: 199,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,714.80 : 435,780.60 = 133,056.40 : x
  2. Step 2: Convert to fraction form
    290,714.80/435,780.60 = 133,056.40/x
  3. Step 3: Cross multiply
    290,714.80x = 435,780.60 × 133,056.40
  4. Step 4: Simplify right side
    290,714.80x = 57,983,397,825.84
  5. Step 5: Solve for x
    x = 57,983,397,825.84/290,714.80
  6. Step 6: Final answer
    x = 199,451.14

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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.