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Finding the Fourth Proportional to 310,454.64, 465,350.40 and 177,047.64

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Solution

The fourth proportional to 310,454.64, 465,350.40 and 177,047.64 is: 265,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,454.64 : 465,350.40 = 177,047.64 : x
  2. Step 2: Convert to fraction form
    310,454.64/465,350.40 = 177,047.64/x
  3. Step 3: Cross multiply
    310,454.64x = 465,350.40 × 177,047.64
  4. Step 4: Simplify right side
    310,454.64x = 82,389,190,093.06
  5. Step 5: Solve for x
    x = 82,389,190,093.06/310,454.64
  6. Step 6: Final answer
    x = 265,382.38

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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.