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Finding the Fourth Proportional to 407,014.34, 561,714.29 and 225,784.67

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Solution

The fourth proportional to 407,014.34, 561,714.29 and 225,784.67 is: 311,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,014.34 : 561,714.29 = 225,784.67 : x
  2. Step 2: Convert to fraction form
    407,014.34/561,714.29 = 225,784.67/x
  3. Step 3: Cross multiply
    407,014.34x = 561,714.29 × 225,784.67
  4. Step 4: Simplify right side
    407,014.34x = 126,826,473,781.17
  5. Step 5: Solve for x
    x = 126,826,473,781.17/407,014.34
  6. Step 6: Final answer
    x = 311,601.98

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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.