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Finding the Fourth Proportional to 507,847.68, 700,825.23 and 278,418.06

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Solution

The fourth proportional to 507,847.68, 700,825.23 and 278,418.06 is: 384,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,847.68 : 700,825.23 = 278,418.06 : x
  2. Step 2: Convert to fraction form
    507,847.68/700,825.23 = 278,418.06/x
  3. Step 3: Cross multiply
    507,847.68x = 700,825.23 × 278,418.06
  4. Step 4: Simplify right side
    507,847.68x = 195,122,400,935.65
  5. Step 5: Solve for x
    x = 195,122,400,935.65/507,847.68
  6. Step 6: Final answer
    x = 384,214.42

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1.5x scale

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.