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Finding the Fourth Proportional to 509,150.56, 702,549.66 and 294,249.12

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Solution

The fourth proportional to 509,150.56, 702,549.66 and 294,249.12 is: 406,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,150.56 : 702,549.66 = 294,249.12 : x
  2. Step 2: Convert to fraction form
    509,150.56/702,549.66 = 294,249.12/x
  3. Step 3: Cross multiply
    509,150.56x = 702,549.66 × 294,249.12
  4. Step 4: Simplify right side
    509,150.56x = 206,724,620,314.73
  5. Step 5: Solve for x
    x = 206,724,620,314.73/509,150.56
  6. Step 6: Final answer
    x = 406,018.65

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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.