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Finding the Fourth Proportional to 477,411.47, 658,835.86 and 273,480.22

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Solution

The fourth proportional to 477,411.47, 658,835.86 and 273,480.22 is: 377,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,411.47 : 658,835.86 = 273,480.22 : x
  2. Step 2: Convert to fraction form
    477,411.47/658,835.86 = 273,480.22/x
  3. Step 3: Cross multiply
    477,411.47x = 658,835.86 × 273,480.22
  4. Step 4: Simplify right side
    477,411.47x = 180,178,576,900.08
  5. Step 5: Solve for x
    x = 180,178,576,900.08/477,411.47
  6. Step 6: Final answer
    x = 377,407.31

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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.