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Finding the Fourth Proportional to 415,824.63, 573,804.98 and 234,478.59

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Solution

The fourth proportional to 415,824.63, 573,804.98 and 234,478.59 is: 323,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,824.63 : 573,804.98 = 234,478.59 : x
  2. Step 2: Convert to fraction form
    415,824.63/573,804.98 = 234,478.59/x
  3. Step 3: Cross multiply
    415,824.63x = 573,804.98 × 234,478.59
  4. Step 4: Simplify right side
    415,824.63x = 134,544,978,603.96
  5. Step 5: Solve for x
    x = 134,544,978,603.96/415,824.63
  6. Step 6: Final answer
    x = 323,561.83

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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.