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Finding the Fourth Proportional to 698,545, 1,047,827.22 and 199,909

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Solution

The fourth proportional to 698,545, 1,047,827.22 and 199,909 is: 299,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,545 : 1,047,827.22 = 199,909 : x
  2. Step 2: Convert to fraction form
    698,545/1,047,827.22 = 199,909/x
  3. Step 3: Cross multiply
    698,545x = 1,047,827.22 × 199,909
  4. Step 4: Simplify right side
    698,545x = 209,470,091,722.98
  5. Step 5: Solve for x
    x = 209,470,091,722.98/698,545
  6. Step 6: Final answer
    x = 299,866.28

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Why These Related Problems?

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