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Finding the Fourth Proportional to 410,625, 566,606.52 and 229,313.76

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Solution

The fourth proportional to 410,625, 566,606.52 and 229,313.76 is: 316,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,625 : 566,606.52 = 229,313.76 : x
  2. Step 2: Convert to fraction form
    410,625/566,606.52 = 229,313.76/x
  3. Step 3: Cross multiply
    410,625x = 566,606.52 × 229,313.76
  4. Step 4: Simplify right side
    410,625x = 129,930,671,541.72
  5. Step 5: Solve for x
    x = 129,930,671,541.72/410,625
  6. Step 6: Final answer
    x = 316,421.73

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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.