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Finding the Fourth Proportional to 583,651.63, 805,253.97 and 460,754.38

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Solution

The fourth proportional to 583,651.63, 805,253.97 and 460,754.38 is: 635,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,651.63 : 805,253.97 = 460,754.38 : x
  2. Step 2: Convert to fraction form
    583,651.63/805,253.97 = 460,754.38/x
  3. Step 3: Cross multiply
    583,651.63x = 805,253.97 × 460,754.38
  4. Step 4: Simplify right side
    583,651.63x = 371,024,293,689.89
  5. Step 5: Solve for x
    x = 371,024,293,689.89/583,651.63
  6. Step 6: Final answer
    x = 635,694.78

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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.