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Finding the Fourth Proportional to 582,345.12, 803,626.64 and 327,696.16

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Solution

The fourth proportional to 582,345.12, 803,626.64 and 327,696.16 is: 452,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,345.12 : 803,626.64 = 327,696.16 : x
  2. Step 2: Convert to fraction form
    582,345.12/803,626.64 = 327,696.16/x
  3. Step 3: Cross multiply
    582,345.12x = 803,626.64 × 327,696.16
  4. Step 4: Simplify right side
    582,345.12x = 263,345,364,001.70
  5. Step 5: Solve for x
    x = 263,345,364,001.70/582,345.12
  6. Step 6: Final answer
    x = 452,215.28

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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.