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Finding the Fourth Proportional to 430,438, 645,760.68 and 134,950

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Solution

The fourth proportional to 430,438, 645,760.68 and 134,950 is: 202,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,438 : 645,760.68 = 134,950 : x
  2. Step 2: Convert to fraction form
    430,438/645,760.68 = 134,950/x
  3. Step 3: Cross multiply
    430,438x = 645,760.68 × 134,950
  4. Step 4: Simplify right side
    430,438x = 87,145,403,766
  5. Step 5: Solve for x
    x = 87,145,403,766/430,438
  6. Step 6: Final answer
    x = 202,457.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.