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Finding the Fourth Proportional to 384,636.54, 577,161.36 and 160,152.06

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Solution

The fourth proportional to 384,636.54, 577,161.36 and 160,152.06 is: 240,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,636.54 : 577,161.36 = 160,152.06 : x
  2. Step 2: Convert to fraction form
    384,636.54/577,161.36 = 160,152.06/x
  3. Step 3: Cross multiply
    384,636.54x = 577,161.36 × 160,152.06
  4. Step 4: Simplify right side
    384,636.54x = 92,433,580,756.40
  5. Step 5: Solve for x
    x = 92,433,580,756.40/384,636.54
  6. Step 6: Final answer
    x = 240,314.09

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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.