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Finding the Fourth Proportional to 479,814.96, 719,823.93 and 180,298.14

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Solution

The fourth proportional to 479,814.96, 719,823.93 and 180,298.14 is: 270,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,814.96 : 719,823.93 = 180,298.14 : x
  2. Step 2: Convert to fraction form
    479,814.96/719,823.93 = 180,298.14/x
  3. Step 3: Cross multiply
    479,814.96x = 719,823.93 × 180,298.14
  4. Step 4: Simplify right side
    479,814.96x = 129,782,915,706.49
  5. Step 5: Solve for x
    x = 129,782,915,706.49/479,814.96
  6. Step 6: Final answer
    x = 270,485.35

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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.