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Finding the Fourth Proportional to 456,792.82, 630,229.14 and 265,769.30

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Solution

The fourth proportional to 456,792.82, 630,229.14 and 265,769.30 is: 366,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,792.82 : 630,229.14 = 265,769.30 : x
  2. Step 2: Convert to fraction form
    456,792.82/630,229.14 = 265,769.30/x
  3. Step 3: Cross multiply
    456,792.82x = 630,229.14 × 265,769.30
  4. Step 4: Simplify right side
    456,792.82x = 167,495,556,048.56
  5. Step 5: Solve for x
    x = 167,495,556,048.56/456,792.82
  6. Step 6: Final answer
    x = 366,677.30

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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.