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Finding the Fourth Proportional to 827,234.15, 1,159,702.45 and 827,234.15

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Solution

The fourth proportional to 827,234.15, 1,159,702.45 and 827,234.15 is: 1,159,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,234.15 : 1,159,702.45 = 827,234.15 : x
  2. Step 2: Convert to fraction form
    827,234.15/1,159,702.45 = 827,234.15/x
  3. Step 3: Cross multiply
    827,234.15x = 1,159,702.45 × 827,234.15
  4. Step 4: Simplify right side
    827,234.15x = 959,345,470,478.67
  5. Step 5: Solve for x
    x = 959,345,470,478.67/827,234.15
  6. Step 6: Final answer
    x = 1,159,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.