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Finding the Fourth Proportional to 586,878.22, 809,911.20 and 332,223.94

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Solution

The fourth proportional to 586,878.22, 809,911.20 and 332,223.94 is: 458,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,878.22 : 809,911.20 = 332,223.94 : x
  2. Step 2: Convert to fraction form
    586,878.22/809,911.20 = 332,223.94/x
  3. Step 3: Cross multiply
    586,878.22x = 809,911.20 × 332,223.94
  4. Step 4: Simplify right side
    586,878.22x = 269,071,889,914.13
  5. Step 5: Solve for x
    x = 269,071,889,914.13/586,878.22
  6. Step 6: Final answer
    x = 458,479.94

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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.