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Finding the Fourth Proportional to 468,549.92, 702,980.40 and 153,017.12

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Solution

The fourth proportional to 468,549.92, 702,980.40 and 153,017.12 is: 229,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,549.92 : 702,980.40 = 153,017.12 : x
  2. Step 2: Convert to fraction form
    468,549.92/702,980.40 = 153,017.12/x
  3. Step 3: Cross multiply
    468,549.92x = 702,980.40 × 153,017.12
  4. Step 4: Simplify right side
    468,549.92x = 107,568,036,224.45
  5. Step 5: Solve for x
    x = 107,568,036,224.45/468,549.92
  6. Step 6: Final answer
    x = 229,576.47

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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.