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Finding the Fourth Proportional to 301,013.64, 451,483.56 and 174,722.58

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Solution

The fourth proportional to 301,013.64, 451,483.56 and 174,722.58 is: 262,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,013.64 : 451,483.56 = 174,722.58 : x
  2. Step 2: Convert to fraction form
    301,013.64/451,483.56 = 174,722.58/x
  3. Step 3: Cross multiply
    301,013.64x = 451,483.56 × 174,722.58
  4. Step 4: Simplify right side
    301,013.64x = 78,884,372,430.78
  5. Step 5: Solve for x
    x = 78,884,372,430.78/301,013.64
  6. Step 6: Final answer
    x = 262,062.45

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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.