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Finding the Fourth Proportional to 464,082.91, 696,348.33 and 253,715.38

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Solution

The fourth proportional to 464,082.91, 696,348.33 and 253,715.38 is: 380,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,082.91 : 696,348.33 = 253,715.38 : x
  2. Step 2: Convert to fraction form
    464,082.91/696,348.33 = 253,715.38/x
  3. Step 3: Cross multiply
    464,082.91x = 696,348.33 × 253,715.38
  4. Step 4: Simplify right side
    464,082.91x = 176,674,281,158.32
  5. Step 5: Solve for x
    x = 176,674,281,158.32/464,082.91
  6. Step 6: Final answer
    x = 380,695.51

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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.