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Finding the Fourth Proportional to 415,834.34, 623,657.39 and 190,978.61

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Solution

The fourth proportional to 415,834.34, 623,657.39 and 190,978.61 is: 286,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,834.34 : 623,657.39 = 190,978.61 : x
  2. Step 2: Convert to fraction form
    415,834.34/623,657.39 = 190,978.61/x
  3. Step 3: Cross multiply
    415,834.34x = 623,657.39 × 190,978.61
  4. Step 4: Simplify right side
    415,834.34x = 119,105,217,385.25
  5. Step 5: Solve for x
    x = 119,105,217,385.25/415,834.34
  6. Step 6: Final answer
    x = 286,424.68

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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.