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Finding the Fourth Proportional to 407,856.28, 562,908.54 and 235,779.88

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Solution

The fourth proportional to 407,856.28, 562,908.54 and 235,779.88 is: 325,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,856.28 : 562,908.54 = 235,779.88 : x
  2. Step 2: Convert to fraction form
    407,856.28/562,908.54 = 235,779.88/x
  3. Step 3: Cross multiply
    407,856.28x = 562,908.54 × 235,779.88
  4. Step 4: Simplify right side
    407,856.28x = 132,722,508,012.18
  5. Step 5: Solve for x
    x = 132,722,508,012.18/407,856.28
  6. Step 6: Final answer
    x = 325,414.89

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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.