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Finding the Fourth Proportional to 428,081.84, 590,757.28 and 258,283.16

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Solution

The fourth proportional to 428,081.84, 590,757.28 and 258,283.16 is: 356,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,081.84 : 590,757.28 = 258,283.16 : x
  2. Step 2: Convert to fraction form
    428,081.84/590,757.28 = 258,283.16/x
  3. Step 3: Cross multiply
    428,081.84x = 590,757.28 × 258,283.16
  4. Step 4: Simplify right side
    428,081.84x = 152,582,657,071.41
  5. Step 5: Solve for x
    x = 152,582,657,071.41/428,081.84
  6. Step 6: Final answer
    x = 356,433.38

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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.