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Finding the Fourth Proportional to 407,184.60, 561,324.78 and 285,956.76

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Solution

The fourth proportional to 407,184.60, 561,324.78 and 285,956.76 is: 394,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,184.60 : 561,324.78 = 285,956.76 : x
  2. Step 2: Convert to fraction form
    407,184.60/561,324.78 = 285,956.76/x
  3. Step 3: Cross multiply
    407,184.60x = 561,324.78 × 285,956.76
  4. Step 4: Simplify right side
    407,184.60x = 160,514,615,396.51
  5. Step 5: Solve for x
    x = 160,514,615,396.51/407,184.60
  6. Step 6: Final answer
    x = 394,206.01

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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.