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Finding the Fourth Proportional to 299,272.40, 448,908.60 and 77,656.40

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Solution

The fourth proportional to 299,272.40, 448,908.60 and 77,656.40 is: 116,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,272.40 : 448,908.60 = 77,656.40 : x
  2. Step 2: Convert to fraction form
    299,272.40/448,908.60 = 77,656.40/x
  3. Step 3: Cross multiply
    299,272.40x = 448,908.60 × 77,656.40
  4. Step 4: Simplify right side
    299,272.40x = 34,860,625,805.04
  5. Step 5: Solve for x
    x = 34,860,625,805.04/299,272.40
  6. Step 6: Final answer
    x = 116,484.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.