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Finding the Fourth Proportional to 471,595.72, 650,886.66 and 301,824.04

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Solution

The fourth proportional to 471,595.72, 650,886.66 and 301,824.04 is: 416,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,595.72 : 650,886.66 = 301,824.04 : x
  2. Step 2: Convert to fraction form
    471,595.72/650,886.66 = 301,824.04/x
  3. Step 3: Cross multiply
    471,595.72x = 650,886.66 × 301,824.04
  4. Step 4: Simplify right side
    471,595.72x = 196,453,241,303.31
  5. Step 5: Solve for x
    x = 196,453,241,303.31/471,595.72
  6. Step 6: Final answer
    x = 416,571.30

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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.