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Finding the Fourth Proportional to 595,785.92, 822,182.98 and 323,853.80

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Solution

The fourth proportional to 595,785.92, 822,182.98 and 323,853.80 is: 446,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,785.92 : 822,182.98 = 323,853.80 : x
  2. Step 2: Convert to fraction form
    595,785.92/822,182.98 = 323,853.80/x
  3. Step 3: Cross multiply
    595,785.92x = 822,182.98 × 323,853.80
  4. Step 4: Simplify right side
    595,785.92x = 266,267,082,368.32
  5. Step 5: Solve for x
    x = 266,267,082,368.32/595,785.92
  6. Step 6: Final answer
    x = 446,917.38

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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.