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Finding the Fourth Proportional to 561,503.38, 841,749.62 and 206,441.50

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Solution

The fourth proportional to 561,503.38, 841,749.62 and 206,441.50 is: 309,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,503.38 : 841,749.62 = 206,441.50 : x
  2. Step 2: Convert to fraction form
    561,503.38/841,749.62 = 206,441.50/x
  3. Step 3: Cross multiply
    561,503.38x = 841,749.62 × 206,441.50
  4. Step 4: Simplify right side
    561,503.38x = 173,772,050,484.59
  5. Step 5: Solve for x
    x = 173,772,050,484.59/561,503.38
  6. Step 6: Final answer
    x = 309,476.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.