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Finding the Fourth Proportional to 506,515.94, 759,524.25 and 177,852.88

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Solution

The fourth proportional to 506,515.94, 759,524.25 and 177,852.88 is: 266,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,515.94 : 759,524.25 = 177,852.88 : x
  2. Step 2: Convert to fraction form
    506,515.94/759,524.25 = 177,852.88/x
  3. Step 3: Cross multiply
    506,515.94x = 759,524.25 × 177,852.88
  4. Step 4: Simplify right side
    506,515.94x = 135,083,575,292.34
  5. Step 5: Solve for x
    x = 135,083,575,292.34/506,515.94
  6. Step 6: Final answer
    x = 266,691.66

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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.