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Finding the Fourth Proportional to 477,537.60, 716,059.90 and 140,534.49

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Solution

The fourth proportional to 477,537.60, 716,059.90 and 140,534.49 is: 210,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,537.60 : 716,059.90 = 140,534.49 : x
  2. Step 2: Convert to fraction form
    477,537.60/716,059.90 = 140,534.49/x
  3. Step 3: Cross multiply
    477,537.60x = 716,059.90 × 140,534.49
  4. Step 4: Simplify right side
    477,537.60x = 100,631,113,031.62
  5. Step 5: Solve for x
    x = 100,631,113,031.62/477,537.60
  6. Step 6: Final answer
    x = 210,729.19

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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.