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Finding the Fourth Proportional to 471,228.93, 650,276.78 and 256,369.14

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Solution

The fourth proportional to 471,228.93, 650,276.78 and 256,369.14 is: 353,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,228.93 : 650,276.78 = 256,369.14 : x
  2. Step 2: Convert to fraction form
    471,228.93/650,276.78 = 256,369.14/x
  3. Step 3: Cross multiply
    471,228.93x = 650,276.78 × 256,369.14
  4. Step 4: Simplify right side
    471,228.93x = 166,710,897,568.72
  5. Step 5: Solve for x
    x = 166,710,897,568.72/471,228.93
  6. Step 6: Final answer
    x = 353,779.00

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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.