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Finding the Fourth Proportional to 299,541.90, 413,333.82 and 172,258.50

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Solution

The fourth proportional to 299,541.90, 413,333.82 and 172,258.50 is: 237,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,541.90 : 413,333.82 = 172,258.50 : x
  2. Step 2: Convert to fraction form
    299,541.90/413,333.82 = 172,258.50/x
  3. Step 3: Cross multiply
    299,541.90x = 413,333.82 × 172,258.50
  4. Step 4: Simplify right side
    299,541.90x = 71,200,263,832.47
  5. Step 5: Solve for x
    x = 71,200,263,832.47/299,541.90
  6. Step 6: Final answer
    x = 237,697.18

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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.