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Finding the Fourth Proportional to 325,614.40, 488,491.76 and 100,970.35

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Solution

The fourth proportional to 325,614.40, 488,491.76 and 100,970.35 is: 151,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,614.40 : 488,491.76 = 100,970.35 : x
  2. Step 2: Convert to fraction form
    325,614.40/488,491.76 = 100,970.35/x
  3. Step 3: Cross multiply
    325,614.40x = 488,491.76 × 100,970.35
  4. Step 4: Simplify right side
    325,614.40x = 49,323,183,010.51
  5. Step 5: Solve for x
    x = 49,323,183,010.51/325,614.40
  6. Step 6: Final answer
    x = 151,477.28

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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.