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Finding the Fourth Proportional to 425,314.80, 638,263.80 and 188,827.20

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Solution

The fourth proportional to 425,314.80, 638,263.80 and 188,827.20 is: 283,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,314.80 : 638,263.80 = 188,827.20 : x
  2. Step 2: Convert to fraction form
    425,314.80/638,263.80 = 188,827.20/x
  3. Step 3: Cross multiply
    425,314.80x = 638,263.80 × 188,827.20
  4. Step 4: Simplify right side
    425,314.80x = 120,521,566,215.36
  5. Step 5: Solve for x
    x = 120,521,566,215.36/425,314.80
  6. Step 6: Final answer
    x = 283,370.26

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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.