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Finding the Fourth Proportional to 509,107, 702,582.24 and 282,767.08

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Solution

The fourth proportional to 509,107, 702,582.24 and 282,767.08 is: 390,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,107 : 702,582.24 = 282,767.08 : x
  2. Step 2: Convert to fraction form
    509,107/702,582.24 = 282,767.08/x
  3. Step 3: Cross multiply
    509,107x = 702,582.24 × 282,767.08
  4. Step 4: Simplify right side
    509,107x = 198,667,128,464.66
  5. Step 5: Solve for x
    x = 198,667,128,464.66/509,107
  6. Step 6: Final answer
    x = 390,226.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.