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Finding the Fourth Proportional to 370,016.32, 510,568 and 216,996.64

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Solution

The fourth proportional to 370,016.32, 510,568 and 216,996.64 is: 299,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,016.32 : 510,568 = 216,996.64 : x
  2. Step 2: Convert to fraction form
    370,016.32/510,568 = 216,996.64/x
  3. Step 3: Cross multiply
    370,016.32x = 510,568 × 216,996.64
  4. Step 4: Simplify right side
    370,016.32x = 110,791,540,491.52
  5. Step 5: Solve for x
    x = 110,791,540,491.52/370,016.32
  6. Step 6: Final answer
    x = 299,423.39

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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.