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Finding the Fourth Proportional to 349,072.63, 523,639.00 and 96,353.16

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Solution

The fourth proportional to 349,072.63, 523,639.00 and 96,353.16 is: 144,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,072.63 : 523,639.00 = 96,353.16 : x
  2. Step 2: Convert to fraction form
    349,072.63/523,639.00 = 96,353.16/x
  3. Step 3: Cross multiply
    349,072.63x = 523,639.00 × 96,353.16
  4. Step 4: Simplify right side
    349,072.63x = 50,454,272,909.52
  5. Step 5: Solve for x
    x = 50,454,272,909.52/349,072.63
  6. Step 6: Final answer
    x = 144,538.04

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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.