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Finding the Fourth Proportional to 477,323.77, 716,297.16 and 178,043.76

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Solution

The fourth proportional to 477,323.77, 716,297.16 and 178,043.76 is: 267,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,323.77 : 716,297.16 = 178,043.76 : x
  2. Step 2: Convert to fraction form
    477,323.77/716,297.16 = 178,043.76/x
  3. Step 3: Cross multiply
    477,323.77x = 716,297.16 × 178,043.76
  4. Step 4: Simplify right side
    477,323.77x = 127,532,239,643.72
  5. Step 5: Solve for x
    x = 127,532,239,643.72/477,323.77
  6. Step 6: Final answer
    x = 267,181.83

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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.