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Finding the Fourth Proportional to 415,193.58, 572,968.90 and 233,907.68

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Solution

The fourth proportional to 415,193.58, 572,968.90 and 233,907.68 is: 322,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,193.58 : 572,968.90 = 233,907.68 : x
  2. Step 2: Convert to fraction form
    415,193.58/572,968.90 = 233,907.68/x
  3. Step 3: Cross multiply
    415,193.58x = 572,968.90 × 233,907.68
  4. Step 4: Simplify right side
    415,193.58x = 134,021,826,111.15
  5. Step 5: Solve for x
    x = 134,021,826,111.15/415,193.58
  6. Step 6: Final answer
    x = 322,793.59

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