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Finding the Fourth Proportional to 477,491.40, 716,244.93 and 161,956.44

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Solution

The fourth proportional to 477,491.40, 716,244.93 and 161,956.44 is: 242,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,491.40 : 716,244.93 = 161,956.44 : x
  2. Step 2: Convert to fraction form
    477,491.40/716,244.93 = 161,956.44/x
  3. Step 3: Cross multiply
    477,491.40x = 716,244.93 × 161,956.44
  4. Step 4: Simplify right side
    477,491.40x = 116,000,479,030.85
  5. Step 5: Solve for x
    x = 116,000,479,030.85/477,491.40
  6. Step 6: Final answer
    x = 242,937.32

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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.