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Finding the Fourth Proportional to 533,738.46, 736,558.21 and 292,022

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Solution

The fourth proportional to 533,738.46, 736,558.21 and 292,022 is: 402,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,738.46 : 736,558.21 = 292,022 : x
  2. Step 2: Convert to fraction form
    533,738.46/736,558.21 = 292,022/x
  3. Step 3: Cross multiply
    533,738.46x = 736,558.21 × 292,022
  4. Step 4: Simplify right side
    533,738.46x = 215,091,200,140.51
  5. Step 5: Solve for x
    x = 215,091,200,140.51/533,738.46
  6. Step 6: Final answer
    x = 402,989.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.