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Finding the Fourth Proportional to 346,433.37, 477,973.58 and 201,211.16

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Solution

The fourth proportional to 346,433.37, 477,973.58 and 201,211.16 is: 277,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,433.37 : 477,973.58 = 201,211.16 : x
  2. Step 2: Convert to fraction form
    346,433.37/477,973.58 = 201,211.16/x
  3. Step 3: Cross multiply
    346,433.37x = 477,973.58 × 201,211.16
  4. Step 4: Simplify right side
    346,433.37x = 96,173,615,085.23
  5. Step 5: Solve for x
    x = 96,173,615,085.23/346,433.37
  6. Step 6: Final answer
    x = 277,610.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.