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Finding the Fourth Proportional to 400,106.32, 552,347.40 and 309,257.12

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Solution

The fourth proportional to 400,106.32, 552,347.40 and 309,257.12 is: 426,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,106.32 : 552,347.40 = 309,257.12 : x
  2. Step 2: Convert to fraction form
    400,106.32/552,347.40 = 309,257.12/x
  3. Step 3: Cross multiply
    400,106.32x = 552,347.40 × 309,257.12
  4. Step 4: Simplify right side
    400,106.32x = 170,817,366,163.49
  5. Step 5: Solve for x
    x = 170,817,366,163.49/400,106.32
  6. Step 6: Final answer
    x = 426,929.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.