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Finding the Fourth Proportional to 500,108.81, 690,106.48 and 296,123.22

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Solution

The fourth proportional to 500,108.81, 690,106.48 and 296,123.22 is: 408,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,108.81 : 690,106.48 = 296,123.22 : x
  2. Step 2: Convert to fraction form
    500,108.81/690,106.48 = 296,123.22/x
  3. Step 3: Cross multiply
    500,108.81x = 690,106.48 × 296,123.22
  4. Step 4: Simplify right side
    500,108.81x = 204,356,551,984.93
  5. Step 5: Solve for x
    x = 204,356,551,984.93/500,108.81
  6. Step 6: Final answer
    x = 408,624.18

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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.