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Finding the Fourth Proportional to 468,056.70, 702,085.05 and 409,007.70

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Solution

The fourth proportional to 468,056.70, 702,085.05 and 409,007.70 is: 613,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,056.70 : 702,085.05 = 409,007.70 : x
  2. Step 2: Convert to fraction form
    468,056.70/702,085.05 = 409,007.70/x
  3. Step 3: Cross multiply
    468,056.70x = 702,085.05 × 409,007.70
  4. Step 4: Simplify right side
    468,056.70x = 287,158,191,504.89
  5. Step 5: Solve for x
    x = 287,158,191,504.89/468,056.70
  6. Step 6: Final answer
    x = 613,511.55

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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.