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Finding the Fourth Proportional to 514,436.40, 770,342.40 and 409,460.40

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Solution

The fourth proportional to 514,436.40, 770,342.40 and 409,460.40 is: 613,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,436.40 : 770,342.40 = 409,460.40 : x
  2. Step 2: Convert to fraction form
    514,436.40/770,342.40 = 409,460.40/x
  3. Step 3: Cross multiply
    514,436.40x = 770,342.40 × 409,460.40
  4. Step 4: Simplify right side
    514,436.40x = 315,424,707,240.96
  5. Step 5: Solve for x
    x = 315,424,707,240.96/514,436.40
  6. Step 6: Final answer
    x = 613,146.17

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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.