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Finding the Fourth Proportional to 497,381.40, 746,072.10 and 164,914.20

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Solution

The fourth proportional to 497,381.40, 746,072.10 and 164,914.20 is: 247,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,381.40 : 746,072.10 = 164,914.20 : x
  2. Step 2: Convert to fraction form
    497,381.40/746,072.10 = 164,914.20/x
  3. Step 3: Cross multiply
    497,381.40x = 746,072.10 × 164,914.20
  4. Step 4: Simplify right side
    497,381.40x = 123,037,883,513.82
  5. Step 5: Solve for x
    x = 123,037,883,513.82/497,381.40
  6. Step 6: Final answer
    x = 247,371.30

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1.5x scale

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.