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Finding the Fourth Proportional to 477,504.90, 716,265.18 and 161,969.94

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Solution

The fourth proportional to 477,504.90, 716,265.18 and 161,969.94 is: 242,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,504.90 : 716,265.18 = 161,969.94 : x
  2. Step 2: Convert to fraction form
    477,504.90/716,265.18 = 161,969.94/x
  3. Step 3: Cross multiply
    477,504.90x = 716,265.18 × 161,969.94
  4. Step 4: Simplify right side
    477,504.90x = 116,013,428,228.69
  5. Step 5: Solve for x
    x = 116,013,428,228.69/477,504.90
  6. Step 6: Final answer
    x = 242,957.57

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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.