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Finding the Fourth Proportional to 408,861.44, 564,071.64 and 301,686.92

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Solution

The fourth proportional to 408,861.44, 564,071.64 and 301,686.92 is: 416,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,861.44 : 564,071.64 = 301,686.92 : x
  2. Step 2: Convert to fraction form
    408,861.44/564,071.64 = 301,686.92/x
  3. Step 3: Cross multiply
    408,861.44x = 564,071.64 × 301,686.92
  4. Step 4: Simplify right side
    408,861.44x = 170,173,035,730.95
  5. Step 5: Solve for x
    x = 170,173,035,730.95/408,861.44
  6. Step 6: Final answer
    x = 416,212.00

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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.