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Finding the Fourth Proportional to 476,998.85, 715,501.92 and 140,045.33

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Solution

The fourth proportional to 476,998.85, 715,501.92 and 140,045.33 is: 210,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,998.85 : 715,501.92 = 140,045.33 : x
  2. Step 2: Convert to fraction form
    476,998.85/715,501.92 = 140,045.33/x
  3. Step 3: Cross multiply
    476,998.85x = 715,501.92 × 140,045.33
  4. Step 4: Simplify right side
    476,998.85x = 100,202,702,502.03
  5. Step 5: Solve for x
    x = 100,202,702,502.03/476,998.85
  6. Step 6: Final answer
    x = 210,069.07

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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.