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Finding the Fourth Proportional to 468,614.90, 702,979.95 and 152,986.10

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Solution

The fourth proportional to 468,614.90, 702,979.95 and 152,986.10 is: 229,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,614.90 : 702,979.95 = 152,986.10 : x
  2. Step 2: Convert to fraction form
    468,614.90/702,979.95 = 152,986.10/x
  3. Step 3: Cross multiply
    468,614.90x = 702,979.95 × 152,986.10
  4. Step 4: Simplify right side
    468,614.90x = 107,546,160,928.70
  5. Step 5: Solve for x
    x = 107,546,160,928.70/468,614.90
  6. Step 6: Final answer
    x = 229,497.95

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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.