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Finding the Fourth Proportional to 411,312.42, 567,607.14 and 230,022.27

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Solution

The fourth proportional to 411,312.42, 567,607.14 and 230,022.27 is: 317,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,312.42 : 567,607.14 = 230,022.27 : x
  2. Step 2: Convert to fraction form
    411,312.42/567,607.14 = 230,022.27/x
  3. Step 3: Cross multiply
    411,312.42x = 567,607.14 × 230,022.27
  4. Step 4: Simplify right side
    411,312.42x = 130,562,282,811.01
  5. Step 5: Solve for x
    x = 130,562,282,811.01/411,312.42
  6. Step 6: Final answer
    x = 317,428.50

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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.