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Finding the Fourth Proportional to 411,457.28, 567,784.24 and 230,137.76

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Solution

The fourth proportional to 411,457.28, 567,784.24 and 230,137.76 is: 317,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,457.28 : 567,784.24 = 230,137.76 : x
  2. Step 2: Convert to fraction form
    411,457.28/567,784.24 = 230,137.76/x
  3. Step 3: Cross multiply
    411,457.28x = 567,784.24 × 230,137.76
  4. Step 4: Simplify right side
    411,457.28x = 130,668,593,156.90
  5. Step 5: Solve for x
    x = 130,668,593,156.90/411,457.28
  6. Step 6: Final answer
    x = 317,575.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.