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Finding the Fourth Proportional to 595,761.56, 822,156.79 and 323,829.28

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Solution

The fourth proportional to 595,761.56, 822,156.79 and 323,829.28 is: 446,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,761.56 : 822,156.79 = 323,829.28 : x
  2. Step 2: Convert to fraction form
    595,761.56/822,156.79 = 323,829.28/x
  3. Step 3: Cross multiply
    595,761.56x = 822,156.79 × 323,829.28
  4. Step 4: Simplify right side
    595,761.56x = 266,238,441,352.81
  5. Step 5: Solve for x
    x = 266,238,441,352.81/595,761.56
  6. Step 6: Final answer
    x = 446,887.58

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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.