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Finding the Fourth Proportional to 477,805.22, 716,208.06 and 178,155.44

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Solution

The fourth proportional to 477,805.22, 716,208.06 and 178,155.44 is: 267,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,805.22 : 716,208.06 = 178,155.44 : x
  2. Step 2: Convert to fraction form
    477,805.22/716,208.06 = 178,155.44/x
  3. Step 3: Cross multiply
    477,805.22x = 716,208.06 × 178,155.44
  4. Step 4: Simplify right side
    477,805.22x = 127,596,362,060.85
  5. Step 5: Solve for x
    x = 127,596,362,060.85/477,805.22
  6. Step 6: Final answer
    x = 267,046.81

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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.