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Finding the Fourth Proportional to 310,294.66, 465,376.64 and 141,767.14

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Solution

The fourth proportional to 310,294.66, 465,376.64 and 141,767.14 is: 212,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,294.66 : 465,376.64 = 141,767.14 : x
  2. Step 2: Convert to fraction form
    310,294.66/465,376.64 = 141,767.14/x
  3. Step 3: Cross multiply
    310,294.66x = 465,376.64 × 141,767.14
  4. Step 4: Simplify right side
    310,294.66x = 65,975,115,275.61
  5. Step 5: Solve for x
    x = 65,975,115,275.61/310,294.66
  6. Step 6: Final answer
    x = 212,620.85

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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.