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Finding the Fourth Proportional to 364,622.05, 545,978.35 and 293,164.93

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Solution

The fourth proportional to 364,622.05, 545,978.35 and 293,164.93 is: 438,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,622.05 : 545,978.35 = 293,164.93 : x
  2. Step 2: Convert to fraction form
    364,622.05/545,978.35 = 293,164.93/x
  3. Step 3: Cross multiply
    364,622.05x = 545,978.35 × 293,164.93
  4. Step 4: Simplify right side
    364,622.05x = 160,061,704,759.27
  5. Step 5: Solve for x
    x = 160,061,704,759.27/364,622.05
  6. Step 6: Final answer
    x = 438,979.77

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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.