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Finding the Fourth Proportional to 468,094.40, 701,882.40 and 201,809.60

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Solution

The fourth proportional to 468,094.40, 701,882.40 and 201,809.60 is: 302,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,094.40 : 701,882.40 = 201,809.60 : x
  2. Step 2: Convert to fraction form
    468,094.40/701,882.40 = 201,809.60/x
  3. Step 3: Cross multiply
    468,094.40x = 701,882.40 × 201,809.60
  4. Step 4: Simplify right side
    468,094.40x = 141,646,606,391.04
  5. Step 5: Solve for x
    x = 141,646,606,391.04/468,094.40
  6. Step 6: Final answer
    x = 302,602.65

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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.