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Finding the Fourth Proportional to 519,005.10, 716,244.82 and 301,197

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Solution

The fourth proportional to 519,005.10, 716,244.82 and 301,197 is: 415,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,005.10 : 716,244.82 = 301,197 : x
  2. Step 2: Convert to fraction form
    519,005.10/716,244.82 = 301,197/x
  3. Step 3: Cross multiply
    519,005.10x = 716,244.82 × 301,197
  4. Step 4: Simplify right side
    519,005.10x = 215,730,791,049.54
  5. Step 5: Solve for x
    x = 215,730,791,049.54/519,005.10
  6. Step 6: Final answer
    x = 415,662.18

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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.