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Finding the Fourth Proportional to 477,748.80, 716,623.20 and 267,359.40

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Solution

The fourth proportional to 477,748.80, 716,623.20 and 267,359.40 is: 401,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,748.80 : 716,623.20 = 267,359.40 : x
  2. Step 2: Convert to fraction form
    477,748.80/716,623.20 = 267,359.40/x
  3. Step 3: Cross multiply
    477,748.80x = 716,623.20 × 267,359.40
  4. Step 4: Simplify right side
    477,748.80x = 191,595,948,778.08
  5. Step 5: Solve for x
    x = 191,595,948,778.08/477,748.80
  6. Step 6: Final answer
    x = 401,039.10

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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.