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Finding the Fourth Proportional to 402,057.80, 602,568.30 and 308,097.80

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Solution

The fourth proportional to 402,057.80, 602,568.30 and 308,097.80 is: 461,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,057.80 : 602,568.30 = 308,097.80 : x
  2. Step 2: Convert to fraction form
    402,057.80/602,568.30 = 308,097.80/x
  3. Step 3: Cross multiply
    402,057.80x = 602,568.30 × 308,097.80
  4. Step 4: Simplify right side
    402,057.80x = 185,649,967,579.74
  5. Step 5: Solve for x
    x = 185,649,967,579.74/402,057.80
  6. Step 6: Final answer
    x = 461,749.45

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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.