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Finding the Fourth Proportional to 541,364.32, 812,042 and 423,135.04

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Solution

The fourth proportional to 541,364.32, 812,042 and 423,135.04 is: 634,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,364.32 : 812,042 = 423,135.04 : x
  2. Step 2: Convert to fraction form
    541,364.32/812,042 = 423,135.04/x
  3. Step 3: Cross multiply
    541,364.32x = 812,042 × 423,135.04
  4. Step 4: Simplify right side
    541,364.32x = 343,603,424,151.68
  5. Step 5: Solve for x
    x = 343,603,424,151.68/541,364.32
  6. Step 6: Final answer
    x = 634,699.06

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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.