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Finding the Fourth Proportional to 409,470.96, 565,071.06 and 237,422.64

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Solution

The fourth proportional to 409,470.96, 565,071.06 and 237,422.64 is: 327,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,470.96 : 565,071.06 = 237,422.64 : x
  2. Step 2: Convert to fraction form
    409,470.96/565,071.06 = 237,422.64/x
  3. Step 3: Cross multiply
    409,470.96x = 565,071.06 × 237,422.64
  4. Step 4: Simplify right side
    409,470.96x = 134,160,662,852.80
  5. Step 5: Solve for x
    x = 134,160,662,852.80/409,470.96
  6. Step 6: Final answer
    x = 327,643.90

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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.