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Finding the Fourth Proportional to 513,938.29, 709,226.23 and 284,490.67

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Solution

The fourth proportional to 513,938.29, 709,226.23 and 284,490.67 is: 392,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,938.29 : 709,226.23 = 284,490.67 : x
  2. Step 2: Convert to fraction form
    513,938.29/709,226.23 = 284,490.67/x
  3. Step 3: Cross multiply
    513,938.29x = 709,226.23 × 284,490.67
  4. Step 4: Simplify right side
    513,938.29x = 201,768,242,869.98
  5. Step 5: Solve for x
    x = 201,768,242,869.98/513,938.29
  6. Step 6: Final answer
    x = 392,592.36

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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.