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Finding the Fourth Proportional to 817,082.17, 1,225,820.13 and 256,116.67

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Solution

The fourth proportional to 817,082.17, 1,225,820.13 and 256,116.67 is: 384,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,082.17 : 1,225,820.13 = 256,116.67 : x
  2. Step 2: Convert to fraction form
    817,082.17/1,225,820.13 = 256,116.67/x
  3. Step 3: Cross multiply
    817,082.17x = 1,225,820.13 × 256,116.67
  4. Step 4: Simplify right side
    817,082.17x = 313,952,969,714.57
  5. Step 5: Solve for x
    x = 313,952,969,714.57/817,082.17
  6. Step 6: Final answer
    x = 384,236.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.