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Finding the Fourth Proportional to 299,820.06, 413,802.87 and 178,967.58

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Solution

The fourth proportional to 299,820.06, 413,802.87 and 178,967.58 is: 247,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,820.06 : 413,802.87 = 178,967.58 : x
  2. Step 2: Convert to fraction form
    299,820.06/413,802.87 = 178,967.58/x
  3. Step 3: Cross multiply
    299,820.06x = 413,802.87 × 178,967.58
  4. Step 4: Simplify right side
    299,820.06x = 74,057,298,240.95
  5. Step 5: Solve for x
    x = 74,057,298,240.95/299,820.06
  6. Step 6: Final answer
    x = 247,005.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.