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Finding the Fourth Proportional to 310,256.74, 464,954.54 and 141,364.31

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Solution

The fourth proportional to 310,256.74, 464,954.54 and 141,364.31 is: 211,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,256.74 : 464,954.54 = 141,364.31 : x
  2. Step 2: Convert to fraction form
    310,256.74/464,954.54 = 141,364.31/x
  3. Step 3: Cross multiply
    310,256.74x = 464,954.54 × 141,364.31
  4. Step 4: Simplify right side
    310,256.74x = 65,727,978,184.03
  5. Step 5: Solve for x
    x = 65,727,978,184.03/310,256.74
  6. Step 6: Final answer
    x = 211,850.28

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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.