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Finding the Fourth Proportional to 304,314.40, 456,471.60 and 284,485.60

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Solution

The fourth proportional to 304,314.40, 456,471.60 and 284,485.60 is: 426,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,314.40 : 456,471.60 = 284,485.60 : x
  2. Step 2: Convert to fraction form
    304,314.40/456,471.60 = 284,485.60/x
  3. Step 3: Cross multiply
    304,314.40x = 456,471.60 × 284,485.60
  4. Step 4: Simplify right side
    304,314.40x = 129,859,597,008.96
  5. Step 5: Solve for x
    x = 129,859,597,008.96/304,314.40
  6. Step 6: Final answer
    x = 426,728.40

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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.