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Finding the Fourth Proportional to 513,706.56, 770,427.36 and 153,806.40

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Solution

The fourth proportional to 513,706.56, 770,427.36 and 153,806.40 is: 230,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,706.56 : 770,427.36 = 153,806.40 : x
  2. Step 2: Convert to fraction form
    513,706.56/770,427.36 = 153,806.40/x
  3. Step 3: Cross multiply
    513,706.56x = 770,427.36 × 153,806.40
  4. Step 4: Simplify right side
    513,706.56x = 118,496,658,703.10
  5. Step 5: Solve for x
    x = 118,496,658,703.10/513,706.56
  6. Step 6: Final answer
    x = 230,669.93

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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.