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Finding the Fourth Proportional to 595,708.16, 822,085.59 and 323,775.98

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Solution

The fourth proportional to 595,708.16, 822,085.59 and 323,775.98 is: 446,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,708.16 : 822,085.59 = 323,775.98 : x
  2. Step 2: Convert to fraction form
    595,708.16/822,085.59 = 323,775.98/x
  3. Step 3: Cross multiply
    595,708.16x = 822,085.59 × 323,775.98
  4. Step 4: Simplify right side
    595,708.16x = 266,171,561,816.82
  5. Step 5: Solve for x
    x = 266,171,561,816.82/595,708.16
  6. Step 6: Final answer
    x = 446,815.37

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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.