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Finding the Fourth Proportional to 411,419.85, 616,907.88 and 186,657.65

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Solution

The fourth proportional to 411,419.85, 616,907.88 and 186,657.65 is: 279,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,419.85 : 616,907.88 = 186,657.65 : x
  2. Step 2: Convert to fraction form
    411,419.85/616,907.88 = 186,657.65/x
  3. Step 3: Cross multiply
    411,419.85x = 616,907.88 × 186,657.65
  4. Step 4: Simplify right side
    411,419.85x = 115,150,572,062.74
  5. Step 5: Solve for x
    x = 115,150,572,062.74/411,419.85
  6. Step 6: Final answer
    x = 279,885.80

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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.