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Finding the Fourth Proportional to 468,733.54, 702,988.80 and 202,348.30

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Solution

The fourth proportional to 468,733.54, 702,988.80 and 202,348.30 is: 303,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,733.54 : 702,988.80 = 202,348.30 : x
  2. Step 2: Convert to fraction form
    468,733.54/702,988.80 = 202,348.30/x
  3. Step 3: Cross multiply
    468,733.54x = 702,988.80 × 202,348.30
  4. Step 4: Simplify right side
    468,733.54x = 142,248,588,599.04
  5. Step 5: Solve for x
    x = 142,248,588,599.04/468,733.54
  6. Step 6: Final answer
    x = 303,474.31

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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.