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Finding the Fourth Proportional to 477,424.53, 716,145.60 and 382,212.57

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Solution

The fourth proportional to 477,424.53, 716,145.60 and 382,212.57 is: 573,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,424.53 : 716,145.60 = 382,212.57 : x
  2. Step 2: Convert to fraction form
    477,424.53/716,145.60 = 382,212.57/x
  3. Step 3: Cross multiply
    477,424.53x = 716,145.60 × 382,212.57
  4. Step 4: Simplify right side
    477,424.53x = 273,719,854,389.04
  5. Step 5: Solve for x
    x = 273,719,854,389.04/477,424.53
  6. Step 6: Final answer
    x = 573,325.91

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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.