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Finding the Fourth Proportional to 500,340.71, 690,188.23 and 316,522.35

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Solution

The fourth proportional to 500,340.71, 690,188.23 and 316,522.35 is: 436,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,340.71 : 690,188.23 = 316,522.35 : x
  2. Step 2: Convert to fraction form
    500,340.71/690,188.23 = 316,522.35/x
  3. Step 3: Cross multiply
    500,340.71x = 690,188.23 × 316,522.35
  4. Step 4: Simplify right side
    500,340.71x = 218,460,000,501.94
  5. Step 5: Solve for x
    x = 218,460,000,501.94/500,340.71
  6. Step 6: Final answer
    x = 436,622.48

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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.