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Finding the Fourth Proportional to 590,555.46, 814,966.30 and 322,283.46

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Solution

The fourth proportional to 590,555.46, 814,966.30 and 322,283.46 is: 444,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,555.46 : 814,966.30 = 322,283.46 : x
  2. Step 2: Convert to fraction form
    590,555.46/814,966.30 = 322,283.46/x
  3. Step 3: Cross multiply
    590,555.46x = 814,966.30 × 322,283.46
  4. Step 4: Simplify right side
    590,555.46x = 262,650,158,947.40
  5. Step 5: Solve for x
    x = 262,650,158,947.40/590,555.46
  6. Step 6: Final answer
    x = 444,751.05

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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.