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Finding the Fourth Proportional to 698,503.86, 964,051.29 and 412,094.34

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Solution

The fourth proportional to 698,503.86, 964,051.29 and 412,094.34 is: 568,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,503.86 : 964,051.29 = 412,094.34 : x
  2. Step 2: Convert to fraction form
    698,503.86/964,051.29 = 412,094.34/x
  3. Step 3: Cross multiply
    698,503.86x = 964,051.29 × 412,094.34
  4. Step 4: Simplify right side
    698,503.86x = 397,280,080,078.70
  5. Step 5: Solve for x
    x = 397,280,080,078.70/698,503.86
  6. Step 6: Final answer
    x = 568,758.60

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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.