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Finding the Fourth Proportional to 513,496.19, 770,622.36 and 243,624.85

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Solution

The fourth proportional to 513,496.19, 770,622.36 and 243,624.85 is: 365,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,496.19 : 770,622.36 = 243,624.85 : x
  2. Step 2: Convert to fraction form
    513,496.19/770,622.36 = 243,624.85/x
  3. Step 3: Cross multiply
    513,496.19x = 770,622.36 × 243,624.85
  4. Step 4: Simplify right side
    513,496.19x = 187,742,754,021.50
  5. Step 5: Solve for x
    x = 187,742,754,021.50/513,496.19
  6. Step 6: Final answer
    x = 365,616.64

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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.