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Finding the Fourth Proportional to 611,729.40, 917,922.15 and 256,779.30

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Solution

The fourth proportional to 611,729.40, 917,922.15 and 256,779.30 is: 385,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,729.40 : 917,922.15 = 256,779.30 : x
  2. Step 2: Convert to fraction form
    611,729.40/917,922.15 = 256,779.30/x
  3. Step 3: Cross multiply
    611,729.40x = 917,922.15 × 256,779.30
  4. Step 4: Simplify right side
    611,729.40x = 235,703,407,131.50
  5. Step 5: Solve for x
    x = 235,703,407,131.50/611,729.40
  6. Step 6: Final answer
    x = 385,306.65

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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.