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Finding the Fourth Proportional to 317,984.10, 438,825 and 174,746.54

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Solution

The fourth proportional to 317,984.10, 438,825 and 174,746.54 is: 241,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,984.10 : 438,825 = 174,746.54 : x
  2. Step 2: Convert to fraction form
    317,984.10/438,825 = 174,746.54/x
  3. Step 3: Cross multiply
    317,984.10x = 438,825 × 174,746.54
  4. Step 4: Simplify right side
    317,984.10x = 76,683,150,415.50
  5. Step 5: Solve for x
    x = 76,683,150,415.50/317,984.10
  6. Step 6: Final answer
    x = 241,154.04

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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.