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Finding the Fourth Proportional to 290,438.20, 435,657.30 and 282,662.20

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Solution

The fourth proportional to 290,438.20, 435,657.30 and 282,662.20 is: 423,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.20 : 435,657.30 = 282,662.20 : x
  2. Step 2: Convert to fraction form
    290,438.20/435,657.30 = 282,662.20/x
  3. Step 3: Cross multiply
    290,438.20x = 435,657.30 × 282,662.20
  4. Step 4: Simplify right side
    290,438.20x = 123,143,850,864.06
  5. Step 5: Solve for x
    x = 123,143,850,864.06/290,438.20
  6. Step 6: Final answer
    x = 423,993.30

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1.5x scale

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.