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Finding the Fourth Proportional to 462,632.56, 693,949.08 and 130,208.56

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Solution

The fourth proportional to 462,632.56, 693,949.08 and 130,208.56 is: 195,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,632.56 : 693,949.08 = 130,208.56 : x
  2. Step 2: Convert to fraction form
    462,632.56/693,949.08 = 130,208.56/x
  3. Step 3: Cross multiply
    462,632.56x = 693,949.08 × 130,208.56
  4. Step 4: Simplify right side
    462,632.56x = 90,358,110,420.12
  5. Step 5: Solve for x
    x = 90,358,110,420.12/462,632.56
  6. Step 6: Final answer
    x = 195,312.91

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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.