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Finding the Fourth Proportional to 461,628.25, 692,532.15 and 177,298

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Solution

The fourth proportional to 461,628.25, 692,532.15 and 177,298 is: 265,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,628.25 : 692,532.15 = 177,298 : x
  2. Step 2: Convert to fraction form
    461,628.25/692,532.15 = 177,298/x
  3. Step 3: Cross multiply
    461,628.25x = 692,532.15 × 177,298
  4. Step 4: Simplify right side
    461,628.25x = 122,784,565,130.70
  5. Step 5: Solve for x
    x = 122,784,565,130.70/461,628.25
  6. Step 6: Final answer
    x = 265,981.48

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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.