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Finding the Fourth Proportional to 582,411.92, 803,595.48 and 327,670.16

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Solution

The fourth proportional to 582,411.92, 803,595.48 and 327,670.16 is: 452,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,411.92 : 803,595.48 = 327,670.16 : x
  2. Step 2: Convert to fraction form
    582,411.92/803,595.48 = 327,670.16/x
  3. Step 3: Cross multiply
    582,411.92x = 803,595.48 × 327,670.16
  4. Step 4: Simplify right side
    582,411.92x = 263,314,259,506.88
  5. Step 5: Solve for x
    x = 263,314,259,506.88/582,411.92
  6. Step 6: Final answer
    x = 452,110.01

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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.