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Finding the Fourth Proportional to 716,523, 1,074,793.73 and 210,969.03

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Solution

The fourth proportional to 716,523, 1,074,793.73 and 210,969.03 is: 316,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,523 : 1,074,793.73 = 210,969.03 : x
  2. Step 2: Convert to fraction form
    716,523/1,074,793.73 = 210,969.03/x
  3. Step 3: Cross multiply
    716,523x = 1,074,793.73 × 210,969.03
  4. Step 4: Simplify right side
    716,523x = 226,748,189,613.34
  5. Step 5: Solve for x
    x = 226,748,189,613.34/716,523
  6. Step 6: Final answer
    x = 316,456.26

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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.