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Finding the Fourth Proportional to 410,555, 566,533.24 and 229,256.12

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Solution

The fourth proportional to 410,555, 566,533.24 and 229,256.12 is: 316,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,555 : 566,533.24 = 229,256.12 : x
  2. Step 2: Convert to fraction form
    410,555/566,533.24 = 229,256.12/x
  3. Step 3: Cross multiply
    410,555x = 566,533.24 × 229,256.12
  4. Step 4: Simplify right side
    410,555x = 129,881,212,453.43
  5. Step 5: Solve for x
    x = 129,881,212,453.43/410,555
  6. Step 6: Final answer
    x = 316,355.21

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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.