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Finding the Fourth Proportional to 289,856.94, 400,002.62 and 162,532.59

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Solution

The fourth proportional to 289,856.94, 400,002.62 and 162,532.59 is: 224,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,856.94 : 400,002.62 = 162,532.59 : x
  2. Step 2: Convert to fraction form
    289,856.94/400,002.62 = 162,532.59/x
  3. Step 3: Cross multiply
    289,856.94x = 400,002.62 × 162,532.59
  4. Step 4: Simplify right side
    289,856.94x = 65,013,461,835.39
  5. Step 5: Solve for x
    x = 65,013,461,835.39/289,856.94
  6. Step 6: Final answer
    x = 224,295.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.