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Finding the Fourth Proportional to 477,383.28, 716,074.88 and 227,307.12

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Solution

The fourth proportional to 477,383.28, 716,074.88 and 227,307.12 is: 340,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,383.28 : 716,074.88 = 227,307.12 : x
  2. Step 2: Convert to fraction form
    477,383.28/716,074.88 = 227,307.12/x
  3. Step 3: Cross multiply
    477,383.28x = 716,074.88 × 227,307.12
  4. Step 4: Simplify right side
    477,383.28x = 162,768,918,677.15
  5. Step 5: Solve for x
    x = 162,768,918,677.15/477,383.28
  6. Step 6: Final answer
    x = 340,960.66

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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.