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Finding the Fourth Proportional to 530,807, 796,210.56 and 136,823

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Solution

The fourth proportional to 530,807, 796,210.56 and 136,823 is: 205,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,807 : 796,210.56 = 136,823 : x
  2. Step 2: Convert to fraction form
    530,807/796,210.56 = 136,823/x
  3. Step 3: Cross multiply
    530,807x = 796,210.56 × 136,823
  4. Step 4: Simplify right side
    530,807x = 108,939,917,450.88
  5. Step 5: Solve for x
    x = 108,939,917,450.88/530,807
  6. Step 6: Final answer
    x = 205,234.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.