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Finding the Fourth Proportional to 596,439.84, 822,662 and 366,696.16

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Solution

The fourth proportional to 596,439.84, 822,662 and 366,696.16 is: 505,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,439.84 : 822,662 = 366,696.16 : x
  2. Step 2: Convert to fraction form
    596,439.84/822,662 = 366,696.16/x
  3. Step 3: Cross multiply
    596,439.84x = 822,662 × 366,696.16
  4. Step 4: Simplify right side
    596,439.84x = 301,666,996,377.92
  5. Step 5: Solve for x
    x = 301,666,996,377.92/596,439.84
  6. Step 6: Final answer
    x = 505,779.42

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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.