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Finding the Fourth Proportional to 256,271.36, 384,407.04 and 116,026.88

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Solution

The fourth proportional to 256,271.36, 384,407.04 and 116,026.88 is: 174,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,271.36 : 384,407.04 = 116,026.88 : x
  2. Step 2: Convert to fraction form
    256,271.36/384,407.04 = 116,026.88/x
  3. Step 3: Cross multiply
    256,271.36x = 384,407.04 × 116,026.88
  4. Step 4: Simplify right side
    256,271.36x = 44,601,549,501.24
  5. Step 5: Solve for x
    x = 44,601,549,501.24/256,271.36
  6. Step 6: Final answer
    x = 174,040.32

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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.