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Finding the Fourth Proportional to 468,249.60, 702,303.12 and 152,706

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Solution

The fourth proportional to 468,249.60, 702,303.12 and 152,706 is: 229,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,249.60 : 702,303.12 = 152,706 : x
  2. Step 2: Convert to fraction form
    468,249.60/702,303.12 = 152,706/x
  3. Step 3: Cross multiply
    468,249.60x = 702,303.12 × 152,706
  4. Step 4: Simplify right side
    468,249.60x = 107,245,900,242.72
  5. Step 5: Solve for x
    x = 107,245,900,242.72/468,249.60
  6. Step 6: Final answer
    x = 229,035.75

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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.