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Finding the Fourth Proportional to 468,494.72, 702,809.28 and 152,873.60

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Solution

The fourth proportional to 468,494.72, 702,809.28 and 152,873.60 is: 229,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,494.72 : 702,809.28 = 152,873.60 : x
  2. Step 2: Convert to fraction form
    468,494.72/702,809.28 = 152,873.60/x
  3. Step 3: Cross multiply
    468,494.72x = 702,809.28 × 152,873.60
  4. Step 4: Simplify right side
    468,494.72x = 107,440,984,747.01
  5. Step 5: Solve for x
    x = 107,440,984,747.01/468,494.72
  6. Step 6: Final answer
    x = 229,332.33

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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.