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Finding the Fourth Proportional to 301,715.76, 452,577.60 and 77,078.04

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Solution

The fourth proportional to 301,715.76, 452,577.60 and 77,078.04 is: 115,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,715.76 : 452,577.60 = 77,078.04 : x
  2. Step 2: Convert to fraction form
    301,715.76/452,577.60 = 77,078.04/x
  3. Step 3: Cross multiply
    301,715.76x = 452,577.60 × 77,078.04
  4. Step 4: Simplify right side
    301,715.76x = 34,883,794,355.90
  5. Step 5: Solve for x
    x = 34,883,794,355.90/301,715.76
  6. Step 6: Final answer
    x = 115,618.07

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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.