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Finding the Fourth Proportional to 462,627.36, 693,941.76 and 130,203.36

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Solution

The fourth proportional to 462,627.36, 693,941.76 and 130,203.36 is: 195,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,627.36 : 693,941.76 = 130,203.36 : x
  2. Step 2: Convert to fraction form
    462,627.36/693,941.76 = 130,203.36/x
  3. Step 3: Cross multiply
    462,627.36x = 693,941.76 × 130,203.36
  4. Step 4: Simplify right side
    462,627.36x = 90,353,548,796.31
  5. Step 5: Solve for x
    x = 90,353,548,796.31/462,627.36
  6. Step 6: Final answer
    x = 195,305.24

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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.