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Finding the Fourth Proportional to 301,869.11, 452,798.96 and 77,227.61

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Solution

The fourth proportional to 301,869.11, 452,798.96 and 77,227.61 is: 115,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,869.11 : 452,798.96 = 77,227.61 : x
  2. Step 2: Convert to fraction form
    301,869.11/452,798.96 = 77,227.61/x
  3. Step 3: Cross multiply
    301,869.11x = 452,798.96 × 77,227.61
  4. Step 4: Simplify right side
    301,869.11x = 34,968,578,841.15
  5. Step 5: Solve for x
    x = 34,968,578,841.15/301,869.11
  6. Step 6: Final answer
    x = 115,840.20

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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.