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Finding the Fourth Proportional to 468,414.85, 646,411.97 and 253,554.86

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Solution

The fourth proportional to 468,414.85, 646,411.97 and 253,554.86 is: 349,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,414.85 : 646,411.97 = 253,554.86 : x
  2. Step 2: Convert to fraction form
    468,414.85/646,411.97 = 253,554.86/x
  3. Step 3: Cross multiply
    468,414.85x = 646,411.97 × 253,554.86
  4. Step 4: Simplify right side
    468,414.85x = 163,900,894,456.40
  5. Step 5: Solve for x
    x = 163,900,894,456.40/468,414.85
  6. Step 6: Final answer
    x = 349,905.42

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1.5x scale

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.