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Finding the Fourth Proportional to 559,072.16, 771,498.52 and 341,644.40

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Solution

The fourth proportional to 559,072.16, 771,498.52 and 341,644.40 is: 471,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,072.16 : 771,498.52 = 341,644.40 : x
  2. Step 2: Convert to fraction form
    559,072.16/771,498.52 = 341,644.40/x
  3. Step 3: Cross multiply
    559,072.16x = 771,498.52 × 341,644.40
  4. Step 4: Simplify right side
    559,072.16x = 263,578,147,147.80
  5. Step 5: Solve for x
    x = 263,578,147,147.80/559,072.16
  6. Step 6: Final answer
    x = 471,456.40

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Why These Related Problems?

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