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Finding the Fourth Proportional to 664,706.36, 916,369.88 and 561,767.36

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Solution

The fourth proportional to 664,706.36, 916,369.88 and 561,767.36 is: 774,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,706.36 : 916,369.88 = 561,767.36 : x
  2. Step 2: Convert to fraction form
    664,706.36/916,369.88 = 561,767.36/x
  3. Step 3: Cross multiply
    664,706.36x = 916,369.88 × 561,767.36
  4. Step 4: Simplify right side
    664,706.36x = 514,786,680,880.43
  5. Step 5: Solve for x
    x = 514,786,680,880.43/664,706.36
  6. Step 6: Final answer
    x = 774,457.29

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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.