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Finding the Fourth Proportional to 314,829.59, 434,682.65 and 254,665.22

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Solution

The fourth proportional to 314,829.59, 434,682.65 and 254,665.22 is: 351,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,829.59 : 434,682.65 = 254,665.22 : x
  2. Step 2: Convert to fraction form
    314,829.59/434,682.65 = 254,665.22/x
  3. Step 3: Cross multiply
    314,829.59x = 434,682.65 × 254,665.22
  4. Step 4: Simplify right side
    314,829.59x = 110,698,551,155.68
  5. Step 5: Solve for x
    x = 110,698,551,155.68/314,829.59
  6. Step 6: Final answer
    x = 351,614.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.