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Finding the Fourth Proportional to 301,645.28, 452,467.49 and 77,005.71

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Solution

The fourth proportional to 301,645.28, 452,467.49 and 77,005.71 is: 115,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,645.28 : 452,467.49 = 77,005.71 : x
  2. Step 2: Convert to fraction form
    301,645.28/452,467.49 = 77,005.71/x
  3. Step 3: Cross multiply
    301,645.28x = 452,467.49 × 77,005.71
  4. Step 4: Simplify right side
    301,645.28x = 34,842,579,934.34
  5. Step 5: Solve for x
    x = 34,842,579,934.34/301,645.28
  6. Step 6: Final answer
    x = 115,508.45

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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.