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Finding the Fourth Proportional to 333,219.47, 459,696.78 and 195,328.53

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Solution

The fourth proportional to 333,219.47, 459,696.78 and 195,328.53 is: 269,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,219.47 : 459,696.78 = 195,328.53 : x
  2. Step 2: Convert to fraction form
    333,219.47/459,696.78 = 195,328.53/x
  3. Step 3: Cross multiply
    333,219.47x = 459,696.78 × 195,328.53
  4. Step 4: Simplify right side
    333,219.47x = 89,791,896,283.13
  5. Step 5: Solve for x
    x = 89,791,896,283.13/333,219.47
  6. Step 6: Final answer
    x = 269,467.74

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1.5x scale

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.