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Finding the Fourth Proportional to 595,733.45, 822,117.69 and 323,802

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Solution

The fourth proportional to 595,733.45, 822,117.69 and 323,802 is: 446,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,733.45 : 822,117.69 = 323,802 : x
  2. Step 2: Convert to fraction form
    595,733.45/822,117.69 = 323,802/x
  3. Step 3: Cross multiply
    595,733.45x = 822,117.69 × 323,802
  4. Step 4: Simplify right side
    595,733.45x = 266,203,352,257.38
  5. Step 5: Solve for x
    x = 266,203,352,257.38/595,733.45
  6. Step 6: Final answer
    x = 446,849.77

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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.