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Finding the Fourth Proportional to 497,049.50, 745,574 and 142,063.66

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Solution

The fourth proportional to 497,049.50, 745,574 and 142,063.66 is: 213,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,049.50 : 745,574 = 142,063.66 : x
  2. Step 2: Convert to fraction form
    497,049.50/745,574 = 142,063.66/x
  3. Step 3: Cross multiply
    497,049.50x = 745,574 × 142,063.66
  4. Step 4: Simplify right side
    497,049.50x = 105,918,971,240.84
  5. Step 5: Solve for x
    x = 105,918,971,240.84/497,049.50
  6. Step 6: Final answer
    x = 213,095.42

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