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Finding the Fourth Proportional to 513,955.28, 770,984.52 and 176,951.32

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Solution

The fourth proportional to 513,955.28, 770,984.52 and 176,951.32 is: 265,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,955.28 : 770,984.52 = 176,951.32 : x
  2. Step 2: Convert to fraction form
    513,955.28/770,984.52 = 176,951.32/x
  3. Step 3: Cross multiply
    513,955.28x = 770,984.52 × 176,951.32
  4. Step 4: Simplify right side
    513,955.28x = 136,426,728,513.57
  5. Step 5: Solve for x
    x = 136,426,728,513.57/513,955.28
  6. Step 6: Final answer
    x = 265,444.75

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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.