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Finding the Fourth Proportional to 349,768, 524,656.68 and 109,874.08

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Solution

The fourth proportional to 349,768, 524,656.68 and 109,874.08 is: 164,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768 : 524,656.68 = 109,874.08 : x
  2. Step 2: Convert to fraction form
    349,768/524,656.68 = 109,874.08/x
  3. Step 3: Cross multiply
    349,768x = 524,656.68 × 109,874.08
  4. Step 4: Simplify right side
    349,768x = 57,646,170,030.85
  5. Step 5: Solve for x
    x = 57,646,170,030.85/349,768
  6. Step 6: Final answer
    x = 164,812.59

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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.