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Finding the Fourth Proportional to 477,314.42, 716,283.25 and 178,034.40

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Solution

The fourth proportional to 477,314.42, 716,283.25 and 178,034.40 is: 267,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,314.42 : 716,283.25 = 178,034.40 : x
  2. Step 2: Convert to fraction form
    477,314.42/716,283.25 = 178,034.40/x
  3. Step 3: Cross multiply
    477,314.42x = 716,283.25 × 178,034.40
  4. Step 4: Simplify right side
    477,314.42x = 127,523,058,198.71
  5. Step 5: Solve for x
    x = 127,523,058,198.71/477,314.42
  6. Step 6: Final answer
    x = 267,167.83

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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.