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Finding the Fourth Proportional to 506,758.62, 699,279.27 and 343,082.16

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Solution

The fourth proportional to 506,758.62, 699,279.27 and 343,082.16 is: 473,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,758.62 : 699,279.27 = 343,082.16 : x
  2. Step 2: Convert to fraction form
    506,758.62/699,279.27 = 343,082.16/x
  3. Step 3: Cross multiply
    506,758.62x = 699,279.27 × 343,082.16
  4. Step 4: Simplify right side
    506,758.62x = 239,910,242,394.82
  5. Step 5: Solve for x
    x = 239,910,242,394.82/506,758.62
  6. Step 6: Final answer
    x = 473,421.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.