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Finding the Fourth Proportional to 409,416.40, 564,995.80 and 237,367.80

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Solution

The fourth proportional to 409,416.40, 564,995.80 and 237,367.80 is: 327,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.40 : 564,995.80 = 237,367.80 : x
  2. Step 2: Convert to fraction form
    409,416.40/564,995.80 = 237,367.80/x
  3. Step 3: Cross multiply
    409,416.40x = 564,995.80 × 237,367.80
  4. Step 4: Simplify right side
    409,416.40x = 134,111,810,055.24
  5. Step 5: Solve for x
    x = 134,111,810,055.24/409,416.40
  6. Step 6: Final answer
    x = 327,568.24

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1.5x scale

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.