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Finding the Fourth Proportional to 567,410.96, 783,003.57 and 309,282.23

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Solution

The fourth proportional to 567,410.96, 783,003.57 and 309,282.23 is: 426,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,410.96 : 783,003.57 = 309,282.23 : x
  2. Step 2: Convert to fraction form
    567,410.96/783,003.57 = 309,282.23/x
  3. Step 3: Cross multiply
    567,410.96x = 783,003.57 × 309,282.23
  4. Step 4: Simplify right side
    567,410.96x = 242,169,092,185.07
  5. Step 5: Solve for x
    x = 242,169,092,185.07/567,410.96
  6. Step 6: Final answer
    x = 426,796.64

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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.