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Finding the Fourth Proportional to 477,525.81, 716,294.34 and 189,407.73

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Solution

The fourth proportional to 477,525.81, 716,294.34 and 189,407.73 is: 284,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,525.81 : 716,294.34 = 189,407.73 : x
  2. Step 2: Convert to fraction form
    477,525.81/716,294.34 = 189,407.73/x
  3. Step 3: Cross multiply
    477,525.81x = 716,294.34 × 189,407.73
  4. Step 4: Simplify right side
    477,525.81x = 135,671,684,951.25
  5. Step 5: Solve for x
    x = 135,671,684,951.25/477,525.81
  6. Step 6: Final answer
    x = 284,113.83

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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.