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Finding the Fourth Proportional to 428,090.38, 590,769.07 and 258,291.70

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Solution

The fourth proportional to 428,090.38, 590,769.07 and 258,291.70 is: 356,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,090.38 : 590,769.07 = 258,291.70 : x
  2. Step 2: Convert to fraction form
    428,090.38/590,769.07 = 258,291.70/x
  3. Step 3: Cross multiply
    428,090.38x = 590,769.07 × 258,291.70
  4. Step 4: Simplify right side
    428,090.38x = 152,590,749,324.59
  5. Step 5: Solve for x
    x = 152,590,749,324.59/428,090.38
  6. Step 6: Final answer
    x = 356,445.17

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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.