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Finding the Fourth Proportional to 468,515.24, 702,865.20 and 152,887.40

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Solution

The fourth proportional to 468,515.24, 702,865.20 and 152,887.40 is: 229,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,515.24 : 702,865.20 = 152,887.40 : x
  2. Step 2: Convert to fraction form
    468,515.24/702,865.20 = 152,887.40/x
  3. Step 3: Cross multiply
    468,515.24x = 702,865.20 × 152,887.40
  4. Step 4: Simplify right side
    468,515.24x = 107,459,232,978.48
  5. Step 5: Solve for x
    x = 107,459,232,978.48/468,515.24
  6. Step 6: Final answer
    x = 229,361.23

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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.