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Finding the Fourth Proportional to 531,710.92, 733,824.17 and 302,302.81

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Solution

The fourth proportional to 531,710.92, 733,824.17 and 302,302.81 is: 417,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,710.92 : 733,824.17 = 302,302.81 : x
  2. Step 2: Convert to fraction form
    531,710.92/733,824.17 = 302,302.81/x
  3. Step 3: Cross multiply
    531,710.92x = 733,824.17 × 302,302.81
  4. Step 4: Simplify right side
    531,710.92x = 221,837,107,125.40
  5. Step 5: Solve for x
    x = 221,837,107,125.40/531,710.92
  6. Step 6: Final answer
    x = 417,213.75

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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.