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Finding the Fourth Proportional to 411,423.72, 567,817.32 and 230,145.72

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Solution

The fourth proportional to 411,423.72, 567,817.32 and 230,145.72 is: 317,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,423.72 : 567,817.32 = 230,145.72 : x
  2. Step 2: Convert to fraction form
    411,423.72/567,817.32 = 230,145.72/x
  3. Step 3: Cross multiply
    411,423.72x = 567,817.32 × 230,145.72
  4. Step 4: Simplify right side
    411,423.72x = 130,680,725,939.87
  5. Step 5: Solve for x
    x = 130,680,725,939.87/411,423.72
  6. Step 6: Final answer
    x = 317,630.51

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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.