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Finding the Fourth Proportional to 617,842.94, 926,585.40 and 185,542.96

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Solution

The fourth proportional to 617,842.94, 926,585.40 and 185,542.96 is: 278,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,842.94 : 926,585.40 = 185,542.96 : x
  2. Step 2: Convert to fraction form
    617,842.94/926,585.40 = 185,542.96/x
  3. Step 3: Cross multiply
    617,842.94x = 926,585.40 × 185,542.96
  4. Step 4: Simplify right side
    617,842.94x = 171,921,397,808.78
  5. Step 5: Solve for x
    x = 171,921,397,808.78/617,842.94
  6. Step 6: Final answer
    x = 278,260.68

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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.