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Finding the Fourth Proportional to 411,386.67, 616,706.34 and 186,624.77

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Solution

The fourth proportional to 411,386.67, 616,706.34 and 186,624.77 is: 279,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,386.67 : 616,706.34 = 186,624.77 : x
  2. Step 2: Convert to fraction form
    411,386.67/616,706.34 = 186,624.77/x
  3. Step 3: Cross multiply
    411,386.67x = 616,706.34 × 186,624.77
  4. Step 4: Simplify right side
    411,386.67x = 115,092,678,860.04
  5. Step 5: Solve for x
    x = 115,092,678,860.04/411,386.67
  6. Step 6: Final answer
    x = 279,767.64

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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.