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Finding the Fourth Proportional to 310,261.40, 464,961.51 and 141,368.97

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Solution

The fourth proportional to 310,261.40, 464,961.51 and 141,368.97 is: 211,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,261.40 : 464,961.51 = 141,368.97 : x
  2. Step 2: Convert to fraction form
    310,261.40/464,961.51 = 141,368.97/x
  3. Step 3: Cross multiply
    310,261.40x = 464,961.51 × 141,368.97
  4. Step 4: Simplify right side
    310,261.40x = 65,731,129,758.34
  5. Step 5: Solve for x
    x = 65,731,129,758.34/310,261.40
  6. Step 6: Final answer
    x = 211,857.26

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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.