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Finding the Fourth Proportional to 435,047.31, 652,544.82 and 258,676.74

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Solution

The fourth proportional to 435,047.31, 652,544.82 and 258,676.74 is: 387,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,047.31 : 652,544.82 = 258,676.74 : x
  2. Step 2: Convert to fraction form
    435,047.31/652,544.82 = 258,676.74/x
  3. Step 3: Cross multiply
    435,047.31x = 652,544.82 × 258,676.74
  4. Step 4: Simplify right side
    435,047.31x = 168,798,166,741.49
  5. Step 5: Solve for x
    x = 168,798,166,741.49/435,047.31
  6. Step 6: Final answer
    x = 387,999.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.