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Finding the Fourth Proportional to 309,701.46, 464,160.25 and 176,656.53

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Solution

The fourth proportional to 309,701.46, 464,160.25 and 176,656.53 is: 264,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.46 : 464,160.25 = 176,656.53 : x
  2. Step 2: Convert to fraction form
    309,701.46/464,160.25 = 176,656.53/x
  3. Step 3: Cross multiply
    309,701.46x = 464,160.25 × 176,656.53
  4. Step 4: Simplify right side
    309,701.46x = 81,996,939,128.93
  5. Step 5: Solve for x
    x = 81,996,939,128.93/309,701.46
  6. Step 6: Final answer
    x = 264,761.23

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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.