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Finding the Fourth Proportional to 301,711.96, 416,316.22 and 174,362.96

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Solution

The fourth proportional to 301,711.96, 416,316.22 and 174,362.96 is: 240,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,711.96 : 416,316.22 = 174,362.96 : x
  2. Step 2: Convert to fraction form
    301,711.96/416,316.22 = 174,362.96/x
  3. Step 3: Cross multiply
    301,711.96x = 416,316.22 × 174,362.96
  4. Step 4: Simplify right side
    301,711.96x = 72,590,128,415.21
  5. Step 5: Solve for x
    x = 72,590,128,415.21/301,711.96
  6. Step 6: Final answer
    x = 240,594.14

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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.