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Finding the Fourth Proportional to 513,628.50, 770,244.29 and 176,605.32

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Solution

The fourth proportional to 513,628.50, 770,244.29 and 176,605.32 is: 264,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,628.50 : 770,244.29 = 176,605.32 : x
  2. Step 2: Convert to fraction form
    513,628.50/770,244.29 = 176,605.32/x
  3. Step 3: Cross multiply
    513,628.50x = 770,244.29 × 176,605.32
  4. Step 4: Simplify right side
    513,628.50x = 136,029,239,313.62
  5. Step 5: Solve for x
    x = 136,029,239,313.62/513,628.50
  6. Step 6: Final answer
    x = 264,839.74

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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.