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Finding the Fourth Proportional to 288,066.80, 432,100.20 and 241,410.80

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Solution

The fourth proportional to 288,066.80, 432,100.20 and 241,410.80 is: 362,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,066.80 : 432,100.20 = 241,410.80 : x
  2. Step 2: Convert to fraction form
    288,066.80/432,100.20 = 241,410.80/x
  3. Step 3: Cross multiply
    288,066.80x = 432,100.20 × 241,410.80
  4. Step 4: Simplify right side
    288,066.80x = 104,313,654,962.16
  5. Step 5: Solve for x
    x = 104,313,654,962.16/288,066.80
  6. Step 6: Final answer
    x = 362,116.20

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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.