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Finding the Fourth Proportional to 385,647.60, 578,228.40 and 161,164.20

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Solution

The fourth proportional to 385,647.60, 578,228.40 and 161,164.20 is: 241,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,647.60 : 578,228.40 = 161,164.20 : x
  2. Step 2: Convert to fraction form
    385,647.60/578,228.40 = 161,164.20/x
  3. Step 3: Cross multiply
    385,647.60x = 578,228.40 × 161,164.20
  4. Step 4: Simplify right side
    385,647.60x = 93,189,717,503.28
  5. Step 5: Solve for x
    x = 93,189,717,503.28/385,647.60
  6. Step 6: Final answer
    x = 241,644.75

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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.