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Finding the Fourth Proportional to 499,588.85, 689,415.54 and 284,798.12

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Solution

The fourth proportional to 499,588.85, 689,415.54 and 284,798.12 is: 393,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,588.85 : 689,415.54 = 284,798.12 : x
  2. Step 2: Convert to fraction form
    499,588.85/689,415.54 = 284,798.12/x
  3. Step 3: Cross multiply
    499,588.85x = 689,415.54 × 284,798.12
  4. Step 4: Simplify right side
    499,588.85x = 196,344,246,243.71
  5. Step 5: Solve for x
    x = 196,344,246,243.71/499,588.85
  6. Step 6: Final answer
    x = 393,011.67

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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.