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Finding the Fourth Proportional to 595,762.44, 822,158 and 323,830.16

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Solution

The fourth proportional to 595,762.44, 822,158 and 323,830.16 is: 446,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,762.44 : 822,158 = 323,830.16 : x
  2. Step 2: Convert to fraction form
    595,762.44/822,158 = 323,830.16/x
  3. Step 3: Cross multiply
    595,762.44x = 822,158 × 323,830.16
  4. Step 4: Simplify right side
    595,762.44x = 266,239,556,685.28
  5. Step 5: Solve for x
    x = 266,239,556,685.28/595,762.44
  6. Step 6: Final answer
    x = 446,888.79

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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.