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Finding the Fourth Proportional to 586,915.47, 809,939.12 and 332,264.43

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Solution

The fourth proportional to 586,915.47, 809,939.12 and 332,264.43 is: 458,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,915.47 : 809,939.12 = 332,264.43 : x
  2. Step 2: Convert to fraction form
    586,915.47/809,939.12 = 332,264.43/x
  3. Step 3: Cross multiply
    586,915.47x = 809,939.12 × 332,264.43
  4. Step 4: Simplify right side
    586,915.47x = 269,113,958,380.18
  5. Step 5: Solve for x
    x = 269,113,958,380.18/586,915.47
  6. Step 6: Final answer
    x = 458,522.52

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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.