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Finding the Fourth Proportional to 349,078.84, 523,648.28 and 96,359.36

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Solution

The fourth proportional to 349,078.84, 523,648.28 and 96,359.36 is: 144,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,078.84 : 523,648.28 = 96,359.36 : x
  2. Step 2: Convert to fraction form
    349,078.84/523,648.28 = 96,359.36/x
  3. Step 3: Cross multiply
    349,078.84x = 523,648.28 × 96,359.36
  4. Step 4: Simplify right side
    349,078.84x = 50,458,410,748.56
  5. Step 5: Solve for x
    x = 50,458,410,748.56/349,078.84
  6. Step 6: Final answer
    x = 144,547.32

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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.