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Finding the Fourth Proportional to 299,416.71, 413,155.85 and 178,572.18

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Solution

The fourth proportional to 299,416.71, 413,155.85 and 178,572.18 is: 246,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,416.71 : 413,155.85 = 178,572.18 : x
  2. Step 2: Convert to fraction form
    299,416.71/413,155.85 = 178,572.18/x
  3. Step 3: Cross multiply
    299,416.71x = 413,155.85 × 178,572.18
  4. Step 4: Simplify right side
    299,416.71x = 73,778,139,921.39
  5. Step 5: Solve for x
    x = 73,778,139,921.39/299,416.71
  6. Step 6: Final answer
    x = 246,406.22

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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.