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Finding the Fourth Proportional to 418,235.32, 626,510.98 and 193,285.97

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Solution

The fourth proportional to 418,235.32, 626,510.98 and 193,285.97 is: 289,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,235.32 : 626,510.98 = 193,285.97 : x
  2. Step 2: Convert to fraction form
    418,235.32/626,510.98 = 193,285.97/x
  3. Step 3: Cross multiply
    418,235.32x = 626,510.98 × 193,285.97
  4. Step 4: Simplify right side
    418,235.32x = 121,095,782,484.95
  5. Step 5: Solve for x
    x = 121,095,782,484.95/418,235.32
  6. Step 6: Final answer
    x = 289,539.83

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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.