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Finding the Fourth Proportional to 262,289.40, 393,434.10 and 256,457.40

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Solution

The fourth proportional to 262,289.40, 393,434.10 and 256,457.40 is: 384,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,289.40 : 393,434.10 = 256,457.40 : x
  2. Step 2: Convert to fraction form
    262,289.40/393,434.10 = 256,457.40/x
  3. Step 3: Cross multiply
    262,289.40x = 393,434.10 × 256,457.40
  4. Step 4: Simplify right side
    262,289.40x = 100,899,086,357.34
  5. Step 5: Solve for x
    x = 100,899,086,357.34/262,289.40
  6. Step 6: Final answer
    x = 384,686.10

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