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Finding the Fourth Proportional to 477,322.77, 716,295.66 and 178,042.76

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Solution

The fourth proportional to 477,322.77, 716,295.66 and 178,042.76 is: 267,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,322.77 : 716,295.66 = 178,042.76 : x
  2. Step 2: Convert to fraction form
    477,322.77/716,295.66 = 178,042.76/x
  3. Step 3: Cross multiply
    477,322.77x = 716,295.66 × 178,042.76
  4. Step 4: Simplify right side
    477,322.77x = 127,531,254,719.39
  5. Step 5: Solve for x
    x = 127,531,254,719.39/477,322.77
  6. Step 6: Final answer
    x = 267,180.33

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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.