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Finding the Fourth Proportional to 468,269.46, 646,211.82 and 253,409.52

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Solution

The fourth proportional to 468,269.46, 646,211.82 and 253,409.52 is: 349,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,269.46 : 646,211.82 = 253,409.52 : x
  2. Step 2: Convert to fraction form
    468,269.46/646,211.82 = 253,409.52/x
  3. Step 3: Cross multiply
    468,269.46x = 646,211.82 × 253,409.52
  4. Step 4: Simplify right side
    468,269.46x = 163,756,227,124.53
  5. Step 5: Solve for x
    x = 163,756,227,124.53/468,269.46
  6. Step 6: Final answer
    x = 349,705.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.