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Finding the Fourth Proportional to 309,700.46, 464,158.76 and 176,655.53

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Solution

The fourth proportional to 309,700.46, 464,158.76 and 176,655.53 is: 264,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,700.46 : 464,158.76 = 176,655.53 : x
  2. Step 2: Convert to fraction form
    309,700.46/464,158.76 = 176,655.53/x
  3. Step 3: Cross multiply
    309,700.46x = 464,158.76 × 176,655.53
  4. Step 4: Simplify right side
    309,700.46x = 81,996,212,029.06
  5. Step 5: Solve for x
    x = 81,996,212,029.06/309,700.46
  6. Step 6: Final answer
    x = 264,759.73

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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.