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Finding the Fourth Proportional to 280,288.38, 386,792.57 and 152,964.89

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Solution

The fourth proportional to 280,288.38, 386,792.57 and 152,964.89 is: 211,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,288.38 : 386,792.57 = 152,964.89 : x
  2. Step 2: Convert to fraction form
    280,288.38/386,792.57 = 152,964.89/x
  3. Step 3: Cross multiply
    280,288.38x = 386,792.57 × 152,964.89
  4. Step 4: Simplify right side
    280,288.38x = 59,165,682,821.79
  5. Step 5: Solve for x
    x = 59,165,682,821.79/280,288.38
  6. Step 6: Final answer
    x = 211,088.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.