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Finding the Fourth Proportional to 409,598.50, 614,501.46 and 114,110.50

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Solution

The fourth proportional to 409,598.50, 614,501.46 and 114,110.50 is: 171,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,598.50 : 614,501.46 = 114,110.50 : x
  2. Step 2: Convert to fraction form
    409,598.50/614,501.46 = 114,110.50/x
  3. Step 3: Cross multiply
    409,598.50x = 614,501.46 × 114,110.50
  4. Step 4: Simplify right side
    409,598.50x = 70,121,068,851.33
  5. Step 5: Solve for x
    x = 70,121,068,851.33/409,598.50
  6. Step 6: Final answer
    x = 171,194.64

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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.