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Finding the Fourth Proportional to 716,718.40, 989,072.16 and 394,451.84

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Solution

The fourth proportional to 716,718.40, 989,072.16 and 394,451.84 is: 544,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,718.40 : 989,072.16 = 394,451.84 : x
  2. Step 2: Convert to fraction form
    716,718.40/989,072.16 = 394,451.84/x
  3. Step 3: Cross multiply
    716,718.40x = 989,072.16 × 394,451.84
  4. Step 4: Simplify right side
    716,718.40x = 390,141,333,404.77
  5. Step 5: Solve for x
    x = 390,141,333,404.77/716,718.40
  6. Step 6: Final answer
    x = 544,343.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.