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Finding the Fourth Proportional to 595,716.52, 822,097.12 and 323,784.34

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Solution

The fourth proportional to 595,716.52, 822,097.12 and 323,784.34 is: 446,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,716.52 : 822,097.12 = 323,784.34 : x
  2. Step 2: Convert to fraction form
    595,716.52/822,097.12 = 323,784.34/x
  3. Step 3: Cross multiply
    595,716.52x = 822,097.12 × 323,784.34
  4. Step 4: Simplify right side
    595,716.52x = 266,182,173,415.10
  5. Step 5: Solve for x
    x = 266,182,173,415.10/595,716.52
  6. Step 6: Final answer
    x = 446,826.91

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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.