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Finding the Fourth Proportional to 468,621.40, 702,989.70 and 152,992.60

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Solution

The fourth proportional to 468,621.40, 702,989.70 and 152,992.60 is: 229,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,621.40 : 702,989.70 = 152,992.60 : x
  2. Step 2: Convert to fraction form
    468,621.40/702,989.70 = 152,992.60/x
  3. Step 3: Cross multiply
    468,621.40x = 702,989.70 × 152,992.60
  4. Step 4: Simplify right side
    468,621.40x = 107,552,221,976.22
  5. Step 5: Solve for x
    x = 107,552,221,976.22/468,621.40
  6. Step 6: Final answer
    x = 229,507.70

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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.