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Finding the Fourth Proportional to 518,970.36, 716,178.78 and 280,506.36

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Solution

The fourth proportional to 518,970.36, 716,178.78 and 280,506.36 is: 387,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,970.36 : 716,178.78 = 280,506.36 : x
  2. Step 2: Convert to fraction form
    518,970.36/716,178.78 = 280,506.36/x
  3. Step 3: Cross multiply
    518,970.36x = 716,178.78 × 280,506.36
  4. Step 4: Simplify right side
    518,970.36x = 200,892,702,687.04
  5. Step 5: Solve for x
    x = 200,892,702,687.04/518,970.36
  6. Step 6: Final answer
    x = 387,098.61

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1.5x scale

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.