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Finding the Fourth Proportional to 310,922.12, 463,958.30 and 277,411.88

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Solution

The fourth proportional to 310,922.12, 463,958.30 and 277,411.88 is: 413,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,922.12 : 463,958.30 = 277,411.88 : x
  2. Step 2: Convert to fraction form
    310,922.12/463,958.30 = 277,411.88/x
  3. Step 3: Cross multiply
    310,922.12x = 463,958.30 × 277,411.88
  4. Step 4: Simplify right side
    310,922.12x = 128,707,544,244.60
  5. Step 5: Solve for x
    x = 128,707,544,244.60/310,922.12
  6. Step 6: Final answer
    x = 413,954.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.