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Finding the Fourth Proportional to 698,506.36, 964,054.74 and 412,096.84

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Solution

The fourth proportional to 698,506.36, 964,054.74 and 412,096.84 is: 568,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,506.36 : 964,054.74 = 412,096.84 : x
  2. Step 2: Convert to fraction form
    698,506.36/964,054.74 = 412,096.84/x
  3. Step 3: Cross multiply
    698,506.36x = 964,054.74 × 412,096.84
  4. Step 4: Simplify right side
    698,506.36x = 397,283,911,941.02
  5. Step 5: Solve for x
    x = 397,283,911,941.02/698,506.36
  6. Step 6: Final answer
    x = 568,762.05

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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.