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Finding the Fourth Proportional to 288,053.60, 432,080.40 and 271,432.40

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Solution

The fourth proportional to 288,053.60, 432,080.40 and 271,432.40 is: 407,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,053.60 : 432,080.40 = 271,432.40 : x
  2. Step 2: Convert to fraction form
    288,053.60/432,080.40 = 271,432.40/x
  3. Step 3: Cross multiply
    288,053.60x = 432,080.40 × 271,432.40
  4. Step 4: Simplify right side
    288,053.60x = 117,280,619,964.96
  5. Step 5: Solve for x
    x = 117,280,619,964.96/288,053.60
  6. Step 6: Final answer
    x = 407,148.60

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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.