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Finding the Fourth Proportional to 310,263.64, 464,964.88 and 141,371.22

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Solution

The fourth proportional to 310,263.64, 464,964.88 and 141,371.22 is: 211,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.64 : 464,964.88 = 141,371.22 : x
  2. Step 2: Convert to fraction form
    310,263.64/464,964.88 = 141,371.22/x
  3. Step 3: Cross multiply
    310,263.64x = 464,964.88 × 141,371.22
  4. Step 4: Simplify right side
    310,263.64x = 65,732,652,342.75
  5. Step 5: Solve for x
    x = 65,732,652,342.75/310,263.64
  6. Step 6: Final answer
    x = 211,860.64

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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.