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Finding the Fourth Proportional to 501,258.54, 752,261.40 and 201,741.60

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Solution

The fourth proportional to 501,258.54, 752,261.40 and 201,741.60 is: 302,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,258.54 : 752,261.40 = 201,741.60 : x
  2. Step 2: Convert to fraction form
    501,258.54/752,261.40 = 201,741.60/x
  3. Step 3: Cross multiply
    501,258.54x = 752,261.40 × 201,741.60
  4. Step 4: Simplify right side
    501,258.54x = 151,762,418,454.24
  5. Step 5: Solve for x
    x = 151,762,418,454.24/501,258.54
  6. Step 6: Final answer
    x = 302,762.76

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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.