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Finding the Fourth Proportional to 288,305.28, 432,457.92 and 130,530.24

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Solution

The fourth proportional to 288,305.28, 432,457.92 and 130,530.24 is: 195,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,305.28 : 432,457.92 = 130,530.24 : x
  2. Step 2: Convert to fraction form
    288,305.28/432,457.92 = 130,530.24/x
  3. Step 3: Cross multiply
    288,305.28x = 432,457.92 × 130,530.24
  4. Step 4: Simplify right side
    288,305.28x = 56,448,836,087.50
  5. Step 5: Solve for x
    x = 56,448,836,087.50/288,305.28
  6. Step 6: Final answer
    x = 195,795.36

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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.