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Finding the Fourth Proportional to 477,434.66, 716,160.89 and 382,222.60

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Solution

The fourth proportional to 477,434.66, 716,160.89 and 382,222.60 is: 573,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,434.66 : 716,160.89 = 382,222.60 : x
  2. Step 2: Convert to fraction form
    477,434.66/716,160.89 = 382,222.60/x
  3. Step 3: Cross multiply
    477,434.66x = 716,160.89 × 382,222.60
  4. Step 4: Simplify right side
    477,434.66x = 273,732,876,559.27
  5. Step 5: Solve for x
    x = 273,732,876,559.27/477,434.66
  6. Step 6: Final answer
    x = 573,341.03

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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.