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Finding the Fourth Proportional to 354,507.86, 531,318.32 and 177,064.40

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Solution

The fourth proportional to 354,507.86, 531,318.32 and 177,064.40 is: 265,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,507.86 : 531,318.32 = 177,064.40 : x
  2. Step 2: Convert to fraction form
    354,507.86/531,318.32 = 177,064.40/x
  3. Step 3: Cross multiply
    354,507.86x = 531,318.32 × 177,064.40
  4. Step 4: Simplify right side
    354,507.86x = 94,077,560,646.77
  5. Step 5: Solve for x
    x = 94,077,560,646.77/354,507.86
  6. Step 6: Final answer
    x = 265,375.10

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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.