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Finding the Fourth Proportional to 400,061, 600,386.88 and 189,699.68

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Solution

The fourth proportional to 400,061, 600,386.88 and 189,699.68 is: 284,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,061 : 600,386.88 = 189,699.68 : x
  2. Step 2: Convert to fraction form
    400,061/600,386.88 = 189,699.68/x
  3. Step 3: Cross multiply
    400,061x = 600,386.88 × 189,699.68
  4. Step 4: Simplify right side
    400,061x = 113,893,199,012.20
  5. Step 5: Solve for x
    x = 113,893,199,012.20/400,061
  6. Step 6: Final answer
    x = 284,689.58

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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.