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Finding the Fourth Proportional to 671,938.86, 927,208.14 and 413,774.40

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Solution

The fourth proportional to 671,938.86, 927,208.14 and 413,774.40 is: 570,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,938.86 : 927,208.14 = 413,774.40 : x
  2. Step 2: Convert to fraction form
    671,938.86/927,208.14 = 413,774.40/x
  3. Step 3: Cross multiply
    671,938.86x = 927,208.14 × 413,774.40
  4. Step 4: Simplify right side
    671,938.86x = 383,654,991,803.62
  5. Step 5: Solve for x
    x = 383,654,991,803.62/671,938.86
  6. Step 6: Final answer
    x = 570,967.11

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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.