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Finding the Fourth Proportional to 301,968.60, 452,951.28 and 77,328.60

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Solution

The fourth proportional to 301,968.60, 452,951.28 and 77,328.60 is: 115,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,968.60 : 452,951.28 = 77,328.60 : x
  2. Step 2: Convert to fraction form
    301,968.60/452,951.28 = 77,328.60/x
  3. Step 3: Cross multiply
    301,968.60x = 452,951.28 × 77,328.60
  4. Step 4: Simplify right side
    301,968.60x = 35,026,088,350.61
  5. Step 5: Solve for x
    x = 35,026,088,350.61/301,968.60
  6. Step 6: Final answer
    x = 115,992.49

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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.