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Finding the Fourth Proportional to 822,053.08, 1,233,779.46 and 323,767

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Solution

The fourth proportional to 822,053.08, 1,233,779.46 and 323,767 is: 485,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,053.08 : 1,233,779.46 = 323,767 : x
  2. Step 2: Convert to fraction form
    822,053.08/1,233,779.46 = 323,767/x
  3. Step 3: Cross multiply
    822,053.08x = 1,233,779.46 × 323,767
  4. Step 4: Simplify right side
    822,053.08x = 399,457,074,425.82
  5. Step 5: Solve for x
    x = 399,457,074,425.82/822,053.08
  6. Step 6: Final answer
    x = 485,926.13

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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.