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Finding the Fourth Proportional to 299,116.47, 448,577.65 and 99,383.23

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Solution

The fourth proportional to 299,116.47, 448,577.65 and 99,383.23 is: 149,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,116.47 : 448,577.65 = 99,383.23 : x
  2. Step 2: Convert to fraction form
    299,116.47/448,577.65 = 99,383.23/x
  3. Step 3: Cross multiply
    299,116.47x = 448,577.65 × 99,383.23
  4. Step 4: Simplify right side
    299,116.47x = 44,581,095,762.81
  5. Step 5: Solve for x
    x = 44,581,095,762.81/299,116.47
  6. Step 6: Final answer
    x = 149,042.60

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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.