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Finding the Fourth Proportional to 468,247.60, 702,300.12 and 152,704

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Solution

The fourth proportional to 468,247.60, 702,300.12 and 152,704 is: 229,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,247.60 : 702,300.12 = 152,704 : x
  2. Step 2: Convert to fraction form
    468,247.60/702,300.12 = 152,704/x
  3. Step 3: Cross multiply
    468,247.60x = 702,300.12 × 152,704
  4. Step 4: Simplify right side
    468,247.60x = 107,244,037,524.48
  5. Step 5: Solve for x
    x = 107,244,037,524.48/468,247.60
  6. Step 6: Final answer
    x = 229,032.75

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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.