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Finding the Fourth Proportional to 349,347.80, 523,647.92 and 180,698.34

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Solution

The fourth proportional to 349,347.80, 523,647.92 and 180,698.34 is: 270,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,347.80 : 523,647.92 = 180,698.34 : x
  2. Step 2: Convert to fraction form
    349,347.80/523,647.92 = 180,698.34/x
  3. Step 3: Cross multiply
    349,347.80x = 523,647.92 × 180,698.34
  4. Step 4: Simplify right side
    349,347.80x = 94,622,309,888.45
  5. Step 5: Solve for x
    x = 94,622,309,888.45/349,347.80
  6. Step 6: Final answer
    x = 270,854.17

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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.