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Finding the Fourth Proportional to 863,436, 1,191,541.68 and 505,740

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Solution

The fourth proportional to 863,436, 1,191,541.68 and 505,740 is: 697,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,436 : 1,191,541.68 = 505,740 : x
  2. Step 2: Convert to fraction form
    863,436/1,191,541.68 = 505,740/x
  3. Step 3: Cross multiply
    863,436x = 1,191,541.68 × 505,740
  4. Step 4: Simplify right side
    863,436x = 602,610,289,243.20
  5. Step 5: Solve for x
    x = 602,610,289,243.20/863,436
  6. Step 6: Final answer
    x = 697,921.20

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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.