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Finding the Fourth Proportional to 349,077.58, 523,646.44 and 96,358.12

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Solution

The fourth proportional to 349,077.58, 523,646.44 and 96,358.12 is: 144,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,077.58 : 523,646.44 = 96,358.12 : x
  2. Step 2: Convert to fraction form
    349,077.58/523,646.44 = 96,358.12/x
  3. Step 3: Cross multiply
    349,077.58x = 523,646.44 × 96,358.12
  4. Step 4: Simplify right side
    349,077.58x = 50,457,586,503.09
  5. Step 5: Solve for x
    x = 50,457,586,503.09/349,077.58
  6. Step 6: Final answer
    x = 144,545.48

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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.