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Finding the Fourth Proportional to 477,174.27, 715,742.70 and 161,631.16

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Solution

The fourth proportional to 477,174.27, 715,742.70 and 161,631.16 is: 242,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,174.27 : 715,742.70 = 161,631.16 : x
  2. Step 2: Convert to fraction form
    477,174.27/715,742.70 = 161,631.16/x
  3. Step 3: Cross multiply
    477,174.27x = 715,742.70 × 161,631.16
  4. Step 4: Simplify right side
    477,174.27x = 115,686,322,862.53
  5. Step 5: Solve for x
    x = 115,686,322,862.53/477,174.27
  6. Step 6: Final answer
    x = 242,440.40

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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.