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Finding the Fourth Proportional to 413,977.44, 570,954.72 and 277,970.40

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Solution

The fourth proportional to 413,977.44, 570,954.72 and 277,970.40 is: 383,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,977.44 : 570,954.72 = 277,970.40 : x
  2. Step 2: Convert to fraction form
    413,977.44/570,954.72 = 277,970.40/x
  3. Step 3: Cross multiply
    413,977.44x = 570,954.72 × 277,970.40
  4. Step 4: Simplify right side
    413,977.44x = 158,708,511,900.29
  5. Step 5: Solve for x
    x = 158,708,511,900.29/413,977.44
  6. Step 6: Final answer
    x = 383,374.78

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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.