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Finding the Fourth Proportional to 583,219.32, 804,822.93 and 356,864.82

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Solution

The fourth proportional to 583,219.32, 804,822.93 and 356,864.82 is: 492,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,219.32 : 804,822.93 = 356,864.82 : x
  2. Step 2: Convert to fraction form
    583,219.32/804,822.93 = 356,864.82/x
  3. Step 3: Cross multiply
    583,219.32x = 804,822.93 × 356,864.82
  4. Step 4: Simplify right side
    583,219.32x = 287,212,990,046.32
  5. Step 5: Solve for x
    x = 287,212,990,046.32/583,219.32
  6. Step 6: Final answer
    x = 492,461.38

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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.