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Finding the Fourth Proportional to 471,059.40, 650,064.96 and 256,201

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Solution

The fourth proportional to 471,059.40, 650,064.96 and 256,201 is: 353,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,059.40 : 650,064.96 = 256,201 : x
  2. Step 2: Convert to fraction form
    471,059.40/650,064.96 = 256,201/x
  3. Step 3: Cross multiply
    471,059.40x = 650,064.96 × 256,201
  4. Step 4: Simplify right side
    471,059.40x = 166,547,292,816.96
  5. Step 5: Solve for x
    x = 166,547,292,816.96/471,059.40
  6. Step 6: Final answer
    x = 353,559.01

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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.