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Finding the Fourth Proportional to 477,560.72, 716,094.56 and 140,557.66

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Solution

The fourth proportional to 477,560.72, 716,094.56 and 140,557.66 is: 210,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,560.72 : 716,094.56 = 140,557.66 : x
  2. Step 2: Convert to fraction form
    477,560.72/716,094.56 = 140,557.66/x
  3. Step 3: Cross multiply
    477,560.72x = 716,094.56 × 140,557.66
  4. Step 4: Simplify right side
    477,560.72x = 100,652,575,692.33
  5. Step 5: Solve for x
    x = 100,652,575,692.33/477,560.72
  6. Step 6: Final answer
    x = 210,763.93

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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.