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Finding the Fourth Proportional to 288,368.40, 432,628.20 and 110,881.20

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Solution

The fourth proportional to 288,368.40, 432,628.20 and 110,881.20 is: 166,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,368.40 : 432,628.20 = 110,881.20 : x
  2. Step 2: Convert to fraction form
    288,368.40/432,628.20 = 110,881.20/x
  3. Step 3: Cross multiply
    288,368.40x = 432,628.20 × 110,881.20
  4. Step 4: Simplify right side
    288,368.40x = 47,970,333,969.84
  5. Step 5: Solve for x
    x = 47,970,333,969.84/288,368.40
  6. Step 6: Final answer
    x = 166,350.87

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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.