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Finding the Fourth Proportional to 299,293.50, 448,939.65 and 174,547.02

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Solution

The fourth proportional to 299,293.50, 448,939.65 and 174,547.02 is: 261,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,293.50 : 448,939.65 = 174,547.02 : x
  2. Step 2: Convert to fraction form
    299,293.50/448,939.65 = 174,547.02/x
  3. Step 3: Cross multiply
    299,293.50x = 448,939.65 × 174,547.02
  4. Step 4: Simplify right side
    299,293.50x = 78,361,078,067.34
  5. Step 5: Solve for x
    x = 78,361,078,067.34/299,293.50
  6. Step 6: Final answer
    x = 261,820.18

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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.