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Finding the Fourth Proportional to 477,528.72, 716,046.60 and 140,525.64

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Solution

The fourth proportional to 477,528.72, 716,046.60 and 140,525.64 is: 210,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,528.72 : 716,046.60 = 140,525.64 : x
  2. Step 2: Convert to fraction form
    477,528.72/716,046.60 = 140,525.64/x
  3. Step 3: Cross multiply
    477,528.72x = 716,046.60 × 140,525.64
  4. Step 4: Simplify right side
    477,528.72x = 100,622,906,734.82
  5. Step 5: Solve for x
    x = 100,622,906,734.82/477,528.72
  6. Step 6: Final answer
    x = 210,715.93

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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.