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Finding the Fourth Proportional to 477,526.31, 716,295.09 and 189,408.23

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Solution

The fourth proportional to 477,526.31, 716,295.09 and 189,408.23 is: 284,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,526.31 : 716,295.09 = 189,408.23 : x
  2. Step 2: Convert to fraction form
    477,526.31/716,295.09 = 189,408.23/x
  3. Step 3: Cross multiply
    477,526.31x = 716,295.09 × 189,408.23
  4. Step 4: Simplify right side
    477,526.31x = 135,672,185,154.59
  5. Step 5: Solve for x
    x = 135,672,185,154.59/477,526.31
  6. Step 6: Final answer
    x = 284,114.58

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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.