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Finding the Fourth Proportional to 477,896.51, 716,821.01 and 178,354.19

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Solution

The fourth proportional to 477,896.51, 716,821.01 and 178,354.19 is: 267,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,896.51 : 716,821.01 = 178,354.19 : x
  2. Step 2: Convert to fraction form
    477,896.51/716,821.01 = 178,354.19/x
  3. Step 3: Cross multiply
    477,896.51x = 716,821.01 × 178,354.19
  4. Step 4: Simplify right side
    477,896.51x = 127,848,029,721.76
  5. Step 5: Solve for x
    x = 127,848,029,721.76/477,896.51
  6. Step 6: Final answer
    x = 267,522.42

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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.