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Finding the Fourth Proportional to 286,842.20, 429,744.90 and 253,664.60

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Solution

The fourth proportional to 286,842.20, 429,744.90 and 253,664.60 is: 380,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,842.20 : 429,744.90 = 253,664.60 : x
  2. Step 2: Convert to fraction form
    286,842.20/429,744.90 = 253,664.60/x
  3. Step 3: Cross multiply
    286,842.20x = 429,744.90 × 253,664.60
  4. Step 4: Simplify right side
    286,842.20x = 109,011,068,160.54
  5. Step 5: Solve for x
    x = 109,011,068,160.54/286,842.20
  6. Step 6: Final answer
    x = 380,038.46

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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.