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Finding the Fourth Proportional to 384,746.55, 577,183.01 and 118,507.11

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Solution

The fourth proportional to 384,746.55, 577,183.01 and 118,507.11 is: 177,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,746.55 : 577,183.01 = 118,507.11 : x
  2. Step 2: Convert to fraction form
    384,746.55/577,183.01 = 118,507.11/x
  3. Step 3: Cross multiply
    384,746.55x = 577,183.01 × 118,507.11
  4. Step 4: Simplify right side
    384,746.55x = 68,400,289,863.67
  5. Step 5: Solve for x
    x = 68,400,289,863.67/384,746.55
  6. Step 6: Final answer
    x = 177,780.13

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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.