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Finding the Fourth Proportional to 385,583.96, 578,358.92 and 105,101.22

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Solution

The fourth proportional to 385,583.96, 578,358.92 and 105,101.22 is: 157,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,583.96 : 578,358.92 = 105,101.22 : x
  2. Step 2: Convert to fraction form
    385,583.96/578,358.92 = 105,101.22/x
  3. Step 3: Cross multiply
    385,583.96x = 578,358.92 × 105,101.22
  4. Step 4: Simplify right side
    385,583.96x = 60,786,228,089.88
  5. Step 5: Solve for x
    x = 60,786,228,089.88/385,583.96
  6. Step 6: Final answer
    x = 157,647.19

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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.