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Finding the Fourth Proportional to 284,291.38, 392,325.03 and 156,966.67

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Solution

The fourth proportional to 284,291.38, 392,325.03 and 156,966.67 is: 216,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,291.38 : 392,325.03 = 156,966.67 : x
  2. Step 2: Convert to fraction form
    284,291.38/392,325.03 = 156,966.67/x
  3. Step 3: Cross multiply
    284,291.38x = 392,325.03 × 156,966.67
  4. Step 4: Simplify right side
    284,291.38x = 61,581,953,516.75
  5. Step 5: Solve for x
    x = 61,581,953,516.75/284,291.38
  6. Step 6: Final answer
    x = 216,615.62

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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.