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Finding the Fourth Proportional to 409,816.60, 614,724.90 and 114,328.60

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Solution

The fourth proportional to 409,816.60, 614,724.90 and 114,328.60 is: 171,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,816.60 : 614,724.90 = 114,328.60 : x
  2. Step 2: Convert to fraction form
    409,816.60/614,724.90 = 114,328.60/x
  3. Step 3: Cross multiply
    409,816.60x = 614,724.90 × 114,328.60
  4. Step 4: Simplify right side
    409,816.60x = 70,280,637,202.14
  5. Step 5: Solve for x
    x = 70,280,637,202.14/409,816.60
  6. Step 6: Final answer
    x = 171,492.90

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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.