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Finding the Fourth Proportional to 468,443.24, 702,666.52 and 113,457.48

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Solution

The fourth proportional to 468,443.24, 702,666.52 and 113,457.48 is: 170,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,443.24 : 702,666.52 = 113,457.48 : x
  2. Step 2: Convert to fraction form
    468,443.24/702,666.52 = 113,457.48/x
  3. Step 3: Cross multiply
    468,443.24x = 702,666.52 × 113,457.48
  4. Step 4: Simplify right side
    468,443.24x = 79,722,772,639.57
  5. Step 5: Solve for x
    x = 79,722,772,639.57/468,443.24
  6. Step 6: Final answer
    x = 170,186.62

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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.