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Finding the Fourth Proportional to 461,627.25, 692,530.65 and 177,297

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Solution

The fourth proportional to 461,627.25, 692,530.65 and 177,297 is: 265,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,627.25 : 692,530.65 = 177,297 : x
  2. Step 2: Convert to fraction form
    461,627.25/692,530.65 = 177,297/x
  3. Step 3: Cross multiply
    461,627.25x = 692,530.65 × 177,297
  4. Step 4: Simplify right side
    461,627.25x = 122,783,606,653.05
  5. Step 5: Solve for x
    x = 122,783,606,653.05/461,627.25
  6. Step 6: Final answer
    x = 265,979.98

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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.