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Finding the Fourth Proportional to 409,558.64, 614,296.38 and 110,000.30

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Solution

The fourth proportional to 409,558.64, 614,296.38 and 110,000.30 is: 164,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,558.64 : 614,296.38 = 110,000.30 : x
  2. Step 2: Convert to fraction form
    409,558.64/614,296.38 = 110,000.30/x
  3. Step 3: Cross multiply
    409,558.64x = 614,296.38 × 110,000.30
  4. Step 4: Simplify right side
    409,558.64x = 67,572,786,088.91
  5. Step 5: Solve for x
    x = 67,572,786,088.91/409,558.64
  6. Step 6: Final answer
    x = 164,989.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.