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Finding the Fourth Proportional to 514,081.53, 709,431.35 and 284,650.65

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Solution

The fourth proportional to 514,081.53, 709,431.35 and 284,650.65 is: 392,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,081.53 : 709,431.35 = 284,650.65 : x
  2. Step 2: Convert to fraction form
    514,081.53/709,431.35 = 284,650.65/x
  3. Step 3: Cross multiply
    514,081.53x = 709,431.35 × 284,650.65
  4. Step 4: Simplify right side
    514,081.53x = 201,940,093,484.62
  5. Step 5: Solve for x
    x = 201,940,093,484.62/514,081.53
  6. Step 6: Final answer
    x = 392,817.25

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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.