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Finding the Fourth Proportional to 385,590.96, 578,369.43 and 105,108.21

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Solution

The fourth proportional to 385,590.96, 578,369.43 and 105,108.21 is: 157,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,590.96 : 578,369.43 = 105,108.21 : x
  2. Step 2: Convert to fraction form
    385,590.96/578,369.43 = 105,108.21/x
  3. Step 3: Cross multiply
    385,590.96x = 578,369.43 × 105,108.21
  4. Step 4: Simplify right side
    385,590.96x = 60,791,375,506.02
  5. Step 5: Solve for x
    x = 60,791,375,506.02/385,590.96
  6. Step 6: Final answer
    x = 157,657.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.