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Finding the Fourth Proportional to 310,256.51, 464,954.20 and 141,364.07

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Solution

The fourth proportional to 310,256.51, 464,954.20 and 141,364.07 is: 211,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,256.51 : 464,954.20 = 141,364.07 : x
  2. Step 2: Convert to fraction form
    310,256.51/464,954.20 = 141,364.07/x
  3. Step 3: Cross multiply
    310,256.51x = 464,954.20 × 141,364.07
  4. Step 4: Simplify right side
    310,256.51x = 65,727,815,397.41
  5. Step 5: Solve for x
    x = 65,727,815,397.41/310,256.51
  6. Step 6: Final answer
    x = 211,849.91

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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.