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Finding the Fourth Proportional to 468,260.60, 702,319.62 and 152,717

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Solution

The fourth proportional to 468,260.60, 702,319.62 and 152,717 is: 229,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,260.60 : 702,319.62 = 152,717 : x
  2. Step 2: Convert to fraction form
    468,260.60/702,319.62 = 152,717/x
  3. Step 3: Cross multiply
    468,260.60x = 702,319.62 × 152,717
  4. Step 4: Simplify right side
    468,260.60x = 107,256,145,407.54
  5. Step 5: Solve for x
    x = 107,256,145,407.54/468,260.60
  6. Step 6: Final answer
    x = 229,052.25

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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.