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Finding the Fourth Proportional to 477,927.36, 716,907.84 and 162,343.20

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Solution

The fourth proportional to 477,927.36, 716,907.84 and 162,343.20 is: 243,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,927.36 : 716,907.84 = 162,343.20 : x
  2. Step 2: Convert to fraction form
    477,927.36/716,907.84 = 162,343.20/x
  3. Step 3: Cross multiply
    477,927.36x = 716,907.84 × 162,343.20
  4. Step 4: Simplify right side
    477,927.36x = 116,385,112,850.69
  5. Step 5: Solve for x
    x = 116,385,112,850.69/477,927.36
  6. Step 6: Final answer
    x = 243,520.51

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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.