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Finding the Fourth Proportional to 463,799.09, 695,616.62 and 211,020.16

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Solution

The fourth proportional to 463,799.09, 695,616.62 and 211,020.16 is: 316,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,799.09 : 695,616.62 = 211,020.16 : x
  2. Step 2: Convert to fraction form
    463,799.09/695,616.62 = 211,020.16/x
  3. Step 3: Cross multiply
    463,799.09x = 695,616.62 × 211,020.16
  4. Step 4: Simplify right side
    463,799.09x = 146,789,130,451.06
  5. Step 5: Solve for x
    x = 146,789,130,451.06/463,799.09
  6. Step 6: Final answer
    x = 316,492.92

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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.