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Finding the Fourth Proportional to 513,534.53, 770,484.15 and 229,199.22

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Solution

The fourth proportional to 513,534.53, 770,484.15 and 229,199.22 is: 343,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,534.53 : 770,484.15 = 229,199.22 : x
  2. Step 2: Convert to fraction form
    513,534.53/770,484.15 = 229,199.22/x
  3. Step 3: Cross multiply
    513,534.53x = 770,484.15 × 229,199.22
  4. Step 4: Simplify right side
    513,534.53x = 176,594,366,202.36
  5. Step 5: Solve for x
    x = 176,594,366,202.36/513,534.53
  6. Step 6: Final answer
    x = 343,880.22

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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.