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Finding the Fourth Proportional to 349,476, 524,214.36 and 86,820

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Solution

The fourth proportional to 349,476, 524,214.36 and 86,820 is: 130,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,476 : 524,214.36 = 86,820 : x
  2. Step 2: Convert to fraction form
    349,476/524,214.36 = 86,820/x
  3. Step 3: Cross multiply
    349,476x = 524,214.36 × 86,820
  4. Step 4: Simplify right side
    349,476x = 45,512,290,735.20
  5. Step 5: Solve for x
    x = 45,512,290,735.20/349,476
  6. Step 6: Final answer
    x = 130,230.09

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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.