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Finding the Fourth Proportional to 468,616.40, 702,982.20 and 152,987.60

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Solution

The fourth proportional to 468,616.40, 702,982.20 and 152,987.60 is: 229,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,616.40 : 702,982.20 = 152,987.60 : x
  2. Step 2: Convert to fraction form
    468,616.40/702,982.20 = 152,987.60/x
  3. Step 3: Cross multiply
    468,616.40x = 702,982.20 × 152,987.60
  4. Step 4: Simplify right side
    468,616.40x = 107,547,559,620.72
  5. Step 5: Solve for x
    x = 107,547,559,620.72/468,616.40
  6. Step 6: Final answer
    x = 229,500.20

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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.