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Finding the Fourth Proportional to 472,584.64, 705,864.17 and 427,537.12

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Solution

The fourth proportional to 472,584.64, 705,864.17 and 427,537.12 is: 638,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,584.64 : 705,864.17 = 427,537.12 : x
  2. Step 2: Convert to fraction form
    472,584.64/705,864.17 = 427,537.12/x
  3. Step 3: Cross multiply
    472,584.64x = 705,864.17 × 427,537.12
  4. Step 4: Simplify right side
    472,584.64x = 301,783,134,352.99
  5. Step 5: Solve for x
    x = 301,783,134,352.99/472,584.64
  6. Step 6: Final answer
    x = 638,580.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.