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Finding the Fourth Proportional to 301,711.19, 416,315.20 and 174,362.21

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Solution

The fourth proportional to 301,711.19, 416,315.20 and 174,362.21 is: 240,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,711.19 : 416,315.20 = 174,362.21 : x
  2. Step 2: Convert to fraction form
    301,711.19/416,315.20 = 174,362.21/x
  3. Step 3: Cross multiply
    301,711.19x = 416,315.20 × 174,362.21
  4. Step 4: Simplify right side
    301,711.19x = 72,589,638,328.59
  5. Step 5: Solve for x
    x = 72,589,638,328.59/301,711.19
  6. Step 6: Final answer
    x = 240,593.13

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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.