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Finding the Fourth Proportional to 468,263.85, 702,324.50 and 152,720.25

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Solution

The fourth proportional to 468,263.85, 702,324.50 and 152,720.25 is: 229,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,263.85 : 702,324.50 = 152,720.25 : x
  2. Step 2: Convert to fraction form
    468,263.85/702,324.50 = 152,720.25/x
  3. Step 3: Cross multiply
    468,263.85x = 702,324.50 × 152,720.25
  4. Step 4: Simplify right side
    468,263.85x = 107,259,172,457.52
  5. Step 5: Solve for x
    x = 107,259,172,457.52/468,263.85
  6. Step 6: Final answer
    x = 229,057.13

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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.