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Finding the Fourth Proportional to 282,398.40, 389,858.40 and 174,916.80

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Solution

The fourth proportional to 282,398.40, 389,858.40 and 174,916.80 is: 241,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,398.40 : 389,858.40 = 174,916.80 : x
  2. Step 2: Convert to fraction form
    282,398.40/389,858.40 = 174,916.80/x
  3. Step 3: Cross multiply
    282,398.40x = 389,858.40 × 174,916.80
  4. Step 4: Simplify right side
    282,398.40x = 68,192,783,781.12
  5. Step 5: Solve for x
    x = 68,192,783,781.12/282,398.40
  6. Step 6: Final answer
    x = 241,477.23

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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.