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Finding the Fourth Proportional to 282,627.20, 423,940.80 and 114,228.20

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Solution

The fourth proportional to 282,627.20, 423,940.80 and 114,228.20 is: 171,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,627.20 : 423,940.80 = 114,228.20 : x
  2. Step 2: Convert to fraction form
    282,627.20/423,940.80 = 114,228.20/x
  3. Step 3: Cross multiply
    282,627.20x = 423,940.80 × 114,228.20
  4. Step 4: Simplify right side
    282,627.20x = 48,425,994,490.56
  5. Step 5: Solve for x
    x = 48,425,994,490.56/282,627.20
  6. Step 6: Final answer
    x = 171,342.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.