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Finding the Fourth Proportional to 385,324.32, 577,610.64 and 160,749.28

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Solution

The fourth proportional to 385,324.32, 577,610.64 and 160,749.28 is: 240,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,324.32 : 577,610.64 = 160,749.28 : x
  2. Step 2: Convert to fraction form
    385,324.32/577,610.64 = 160,749.28/x
  3. Step 3: Cross multiply
    385,324.32x = 577,610.64 × 160,749.28
  4. Step 4: Simplify right side
    385,324.32x = 92,850,494,500.34
  5. Step 5: Solve for x
    x = 92,850,494,500.34/385,324.32
  6. Step 6: Final answer
    x = 240,967.13

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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.