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Finding the Fourth Proportional to 482,313.60, 723,729.60 and 201,859.20

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Solution

The fourth proportional to 482,313.60, 723,729.60 and 201,859.20 is: 302,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,313.60 : 723,729.60 = 201,859.20 : x
  2. Step 2: Convert to fraction form
    482,313.60/723,729.60 = 201,859.20/x
  3. Step 3: Cross multiply
    482,313.60x = 723,729.60 × 201,859.20
  4. Step 4: Simplify right side
    482,313.60x = 146,091,478,072.32
  5. Step 5: Solve for x
    x = 146,091,478,072.32/482,313.60
  6. Step 6: Final answer
    x = 302,897.28

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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.