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Finding the Fourth Proportional to 614,433.40, 921,779.70 and 259,264.60

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Solution

The fourth proportional to 614,433.40, 921,779.70 and 259,264.60 is: 388,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,433.40 : 921,779.70 = 259,264.60 : x
  2. Step 2: Convert to fraction form
    614,433.40/921,779.70 = 259,264.60/x
  3. Step 3: Cross multiply
    614,433.40x = 921,779.70 × 259,264.60
  4. Step 4: Simplify right side
    614,433.40x = 238,984,845,208.62
  5. Step 5: Solve for x
    x = 238,984,845,208.62/614,433.40
  6. Step 6: Final answer
    x = 388,951.59

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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.